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Finding the Fourth Proportional to 87.54, 119.49 and 86.32

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Solution

The fourth proportional to 87.54, 119.49 and 86.32 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.54 : 119.49 = 86.32 : x
  2. Step 2: Convert to fraction form
    87.54/119.49 = 86.32/x
  3. Step 3: Cross multiply
    87.54x = 119.49 × 86.32
  4. Step 4: Simplify right side
    87.54x = 10,314.38
  5. Step 5: Solve for x
    x = 10,314.38/87.54
  6. Step 6: Final answer
    x = 117.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.