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Finding the Fourth Proportional to 87.59, 130.74 and 77.45

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Solution

The fourth proportional to 87.59, 130.74 and 77.45 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.59 : 130.74 = 77.45 : x
  2. Step 2: Convert to fraction form
    87.59/130.74 = 77.45/x
  3. Step 3: Cross multiply
    87.59x = 130.74 × 77.45
  4. Step 4: Simplify right side
    87.59x = 10,125.43
  5. Step 5: Solve for x
    x = 10,125.43/87.59
  6. Step 6: Final answer
    x = 115.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.