I don't have a compactor other than driving over dirt with the tractor tire. So if I drill a hole twice as wide as I would otherwise need, I'm mixing lots of extra concrete to fill it.
Hey guys there are very few times when you need to MIX concrete to put in a post for fence or deck.
When you mix it and pour it into the hole wet you often have to brace the the post up plumb. Then you really need to keep in mind that concrete takes about 27 days or so to cure. So when you wet mix concrete and pour it into the hole then set your deck or fence your banging and vibrating around on fresh uncured WEAK concrete. Now you have cracks and loose post at the beginning of your project.
Dig the hole, put in the post, pour in about 6 to 9 inches of DRY concrete mix out of your sack into the hole. Take a rod, shovel handle or whatever and tamp the DRY mix down. You do not need to bang it or tamp it with your strength. Your just trying to compact it. Pour in another 6 to 9 inches and keep repeating till the hole is full. If you wish and you have water available then pour in a CUP of water at each layer so it compacts better. You do NOT want your mix to be pliable or real wet at all. The post should be darn firm and have little movement.
Now set your deck up or picket fence or start stringing your barbwire fence. Your good to get busy.
I am not trying to get into a engineering discussion or haggle over a few PSI of finished Concrete strength results. The concrete mix will absorb water from the surrounding soil over the next few days and will set up firm and cure as normal. I and many others have done this even in dry areas like southern New Mexico sand or West Texas drought conditions. The concrete mix will attract moisture and it will cure. In wet creek bottoms and such areas its still not a issue if you keep in mind that concrete will cure under water just fine. While all this is happening your fence is done or your setting on your deck drinking you beverage of choice.
For a 4 x 4 post I usually use a 9 inch Aulger. I will use a 12 inch Aulger if I am worried about the exact location of the post in the hole and there are issuse getting it planed out just right. So if your post hole is a little off then widen one side. If your hole is a little big then just pour in a bit more dry mix. Save that stress over getting the holes exactly in line. Save all that effort of mixing and pouring and bracing and cleanup of tools. I suspect your or the significant others todo list has plenty more you can be doing instead