Goals from Rickie Lambert, Jason Puncheon and an Anton Ferdinand own-goal cancelled out a first-half strike from Junior Hoilett to leave the west London club four points adrift at the bottom of the table.
The airline mogul has repeatedly backed Mark Hughes to save the club, but fan unrest was clear to see at Loftus Road with a banner asking for Harry redknapp to be appointed.
Fernandes tweeted: "I feel gutted. I have put my heart and soul into this with my other shareholders and done all we can to give support to players and all management.
|JUMPING THROUGH HOOPS|
|11/4||QPR are 11/4 with PaddyPower to finish bottom of the Premier League this season|
"I can only apologise to the QPR fans. We keep fighting.
"Let me tell you fans come first. Everyone including me let the fans down. Many of us need a hard look at themselves. QPR has amazing fans. They deserve better.