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Finding the Fourth Proportional to 87.95, 132.08 and 83.70

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Solution

The fourth proportional to 87.95, 132.08 and 83.70 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.95 : 132.08 = 83.70 : x
  2. Step 2: Convert to fraction form
    87.95/132.08 = 83.70/x
  3. Step 3: Cross multiply
    87.95x = 132.08 × 83.70
  4. Step 4: Simplify right side
    87.95x = 11,055.15
  5. Step 5: Solve for x
    x = 11,055.15/87.95
  6. Step 6: Final answer
    x = 125.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.