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Finding the Fourth Proportional to 87.57, 131.42 and 53.23

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Solution

The fourth proportional to 87.57, 131.42 and 53.23 is: 79.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.57 : 131.42 = 53.23 : x
  2. Step 2: Convert to fraction form
    87.57/131.42 = 53.23/x
  3. Step 3: Cross multiply
    87.57x = 131.42 × 53.23
  4. Step 4: Simplify right side
    87.57x = 6,995.49
  5. Step 5: Solve for x
    x = 6,995.49/87.57
  6. Step 6: Final answer
    x = 79.88

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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.