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Finding the Fourth Proportional to 87.08, 120.14 and 59.40

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Solution

The fourth proportional to 87.08, 120.14 and 59.40 is: 81.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.08 : 120.14 = 59.40 : x
  2. Step 2: Convert to fraction form
    87.08/120.14 = 59.40/x
  3. Step 3: Cross multiply
    87.08x = 120.14 × 59.40
  4. Step 4: Simplify right side
    87.08x = 7,136.02
  5. Step 5: Solve for x
    x = 7,136.02/87.08
  6. Step 6: Final answer
    x = 81.95

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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.