If a tight player(20/6/1) in front raises to 4xBB what is that in your eyes. You think he has just AA, KK or AK? Why would you not call with AQo having position. Your not playing way too tight, your playing weak tight, and thats a whole other problem.

You don't alwasy have to have your opponents hand beat to call his raise, hell if he has AA every time, if the effective stacks are 100BB deep you can call with almost any two. The more you know about your opponents hand, the less odds you need to call his bet.