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Finding the Fourth Proportional to 83.71, 124.87 and 75.05

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Solution

The fourth proportional to 83.71, 124.87 and 75.05 is: 111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.71 : 124.87 = 75.05 : x
  2. Step 2: Convert to fraction form
    83.71/124.87 = 75.05/x
  3. Step 3: Cross multiply
    83.71x = 124.87 × 75.05
  4. Step 4: Simplify right side
    83.71x = 9,371.43
  5. Step 5: Solve for x
    x = 9,371.43/83.71
  6. Step 6: Final answer
    x = 111.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.