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Finding the Fourth Proportional to 87.56, 131.89 and 80.16

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Solution

The fourth proportional to 87.56, 131.89 and 80.16 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.56 : 131.89 = 80.16 : x
  2. Step 2: Convert to fraction form
    87.56/131.89 = 80.16/x
  3. Step 3: Cross multiply
    87.56x = 131.89 × 80.16
  4. Step 4: Simplify right side
    87.56x = 10,572.30
  5. Step 5: Solve for x
    x = 10,572.30/87.56
  6. Step 6: Final answer
    x = 120.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.