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Finding the Fourth Proportional to 83.11, 124.13 and 78.43

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Solution

The fourth proportional to 83.11, 124.13 and 78.43 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.11 : 124.13 = 78.43 : x
  2. Step 2: Convert to fraction form
    83.11/124.13 = 78.43/x
  3. Step 3: Cross multiply
    83.11x = 124.13 × 78.43
  4. Step 4: Simplify right side
    83.11x = 9,735.52
  5. Step 5: Solve for x
    x = 9,735.52/83.11
  6. Step 6: Final answer
    x = 117.14

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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.