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Finding the Fourth Proportional to 87.06, 130.50 and 77.38

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Solution

The fourth proportional to 87.06, 130.50 and 77.38 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.06 : 130.50 = 77.38 : x
  2. Step 2: Convert to fraction form
    87.06/130.50 = 77.38/x
  3. Step 3: Cross multiply
    87.06x = 130.50 × 77.38
  4. Step 4: Simplify right side
    87.06x = 10,098.35
  5. Step 5: Solve for x
    x = 10,098.35/87.06
  6. Step 6: Final answer
    x = 115.99

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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.