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Finding the Fourth Proportional to 87.38, 121.17 and 84.62

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Solution

The fourth proportional to 87.38, 121.17 and 84.62 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.38 : 121.17 = 84.62 : x
  2. Step 2: Convert to fraction form
    87.38/121.17 = 84.62/x
  3. Step 3: Cross multiply
    87.38x = 121.17 × 84.62
  4. Step 4: Simplify right side
    87.38x = 10,253.41
  5. Step 5: Solve for x
    x = 10,253.41/87.38
  6. Step 6: Final answer
    x = 117.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.