This information is previously contained in several articles in this website. I have condensed the information to make it easier for the reader to find each category. This list has been updated after the 2017 state tournament.
Portsmouth Trojans Composite State Ranking
State Appearances: 4th
Number of State Tournament Games Played: 4th
Number of Decades Making the State Tournament: 2nd
Number of State Tournament Games Won: Tied for 4th
Number of State Championship Games Played: Tied for 5th
Number of Final 4 Wins: Tied for 5th
Number of State Championships Won: Tied for 8th
These rankings include over 800 high schools in Ohio.
Including that Portsmouth is the 10th winningest program of all time, to go along with the above info, one could easily make a case for the Trojans being a top 5 program all time, with only 1 category having PHS ranked lower than 5th.