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Finding the Fourth Proportional to 83.33, 124.28 and 77.66

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Solution

The fourth proportional to 83.33, 124.28 and 77.66 is: 115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.33 : 124.28 = 77.66 : x
  2. Step 2: Convert to fraction form
    83.33/124.28 = 77.66/x
  3. Step 3: Cross multiply
    83.33x = 124.28 × 77.66
  4. Step 4: Simplify right side
    83.33x = 9,651.16
  5. Step 5: Solve for x
    x = 9,651.16/83.33
  6. Step 6: Final answer
    x = 115.83

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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.