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Finding the Fourth Proportional to 169.10, 253.57 and 77.84

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Solution

The fourth proportional to 169.10, 253.57 and 77.84 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.10 : 253.57 = 77.84 : x
  2. Step 2: Convert to fraction form
    169.10/253.57 = 77.84/x
  3. Step 3: Cross multiply
    169.10x = 253.57 × 77.84
  4. Step 4: Simplify right side
    169.10x = 19,737.89
  5. Step 5: Solve for x
    x = 19,737.89/169.10
  6. Step 6: Final answer
    x = 116.72

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