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Finding the Fourth Proportional to 87.47, 120.77 and 71.14

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Solution

The fourth proportional to 87.47, 120.77 and 71.14 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.47 : 120.77 = 71.14 : x
  2. Step 2: Convert to fraction form
    87.47/120.77 = 71.14/x
  3. Step 3: Cross multiply
    87.47x = 120.77 × 71.14
  4. Step 4: Simplify right side
    87.47x = 8,591.19
  5. Step 5: Solve for x
    x = 8,591.19/87.47
  6. Step 6: Final answer
    x = 98.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.