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Finding the Fourth Proportional to 76.04, 113.76 and 52

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Solution

The fourth proportional to 76.04, 113.76 and 52 is: 77.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.04 : 113.76 = 52 : x
  2. Step 2: Convert to fraction form
    76.04/113.76 = 52/x
  3. Step 3: Cross multiply
    76.04x = 113.76 × 52
  4. Step 4: Simplify right side
    76.04x = 5,915.52
  5. Step 5: Solve for x
    x = 5,915.52/76.04
  6. Step 6: Final answer
    x = 77.79

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