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Finding the Fourth Proportional to 87.68, 120.71 and 73.10

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Solution

The fourth proportional to 87.68, 120.71 and 73.10 is: 100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.68 : 120.71 = 73.10 : x
  2. Step 2: Convert to fraction form
    87.68/120.71 = 73.10/x
  3. Step 3: Cross multiply
    87.68x = 120.71 × 73.10
  4. Step 4: Simplify right side
    87.68x = 8,823.90
  5. Step 5: Solve for x
    x = 8,823.90/87.68
  6. Step 6: Final answer
    x = 100.64

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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.