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Finding the Fourth Proportional to 87.14, 131.24 and 69.23

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Solution

The fourth proportional to 87.14, 131.24 and 69.23 is: 104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.14 : 131.24 = 69.23 : x
  2. Step 2: Convert to fraction form
    87.14/131.24 = 69.23/x
  3. Step 3: Cross multiply
    87.14x = 131.24 × 69.23
  4. Step 4: Simplify right side
    87.14x = 9,085.75
  5. Step 5: Solve for x
    x = 9,085.75/87.14
  6. Step 6: Final answer
    x = 104.27

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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.