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Finding the Fourth Proportional to 129.17, 193.92 and 77.91

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Solution

The fourth proportional to 129.17, 193.92 and 77.91 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.17 : 193.92 = 77.91 : x
  2. Step 2: Convert to fraction form
    129.17/193.92 = 77.91/x
  3. Step 3: Cross multiply
    129.17x = 193.92 × 77.91
  4. Step 4: Simplify right side
    129.17x = 15,108.31
  5. Step 5: Solve for x
    x = 15,108.31/129.17
  6. Step 6: Final answer
    x = 116.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.