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Finding the Fourth Proportional to 87.50, 131.10 and 77.42

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Solution

The fourth proportional to 87.50, 131.10 and 77.42 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.50 : 131.10 = 77.42 : x
  2. Step 2: Convert to fraction form
    87.50/131.10 = 77.42/x
  3. Step 3: Cross multiply
    87.50x = 131.10 × 77.42
  4. Step 4: Simplify right side
    87.50x = 10,149.76
  5. Step 5: Solve for x
    x = 10,149.76/87.50
  6. Step 6: Final answer
    x = 116.00

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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.