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Finding the Fourth Proportional to 83.04, 123.97 and 78.18

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Solution

The fourth proportional to 83.04, 123.97 and 78.18 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 123.97 = 78.18 : x
  2. Step 2: Convert to fraction form
    83.04/123.97 = 78.18/x
  3. Step 3: Cross multiply
    83.04x = 123.97 × 78.18
  4. Step 4: Simplify right side
    83.04x = 9,691.97
  5. Step 5: Solve for x
    x = 9,691.97/83.04
  6. Step 6: Final answer
    x = 116.71

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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.