Johnson is the ninth-ranked player in Virginia and the 33rd-best cornerback in the nation.
Washington is the third wide receiver to join Penn State's recruiting class of 2020.
Frazier inked a one-year, $2 million contract with Detroit on Monday night.
James Franklin landed his second recruit within the hour with Amin Vanover's commitment on Friday night.
Taylor is the fourth defensive lineman to commit to Penn State in this recruiting cycle.
Gasparato fought a year-long battle with testicular cancer.