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Finding the Fourth Proportional to 169.02, 253.56 and 77.70

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Solution

The fourth proportional to 169.02, 253.56 and 77.70 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 253.56 = 77.70 : x
  2. Step 2: Convert to fraction form
    169.02/253.56 = 77.70/x
  3. Step 3: Cross multiply
    169.02x = 253.56 × 77.70
  4. Step 4: Simplify right side
    169.02x = 19,701.61
  5. Step 5: Solve for x
    x = 19,701.61/169.02
  6. Step 6: Final answer
    x = 116.56

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