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Finding the Fourth Proportional to 83.97, 125.07 and 82.92

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Solution

The fourth proportional to 83.97, 125.07 and 82.92 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.97 : 125.07 = 82.92 : x
  2. Step 2: Convert to fraction form
    83.97/125.07 = 82.92/x
  3. Step 3: Cross multiply
    83.97x = 125.07 × 82.92
  4. Step 4: Simplify right side
    83.97x = 10,369.97
  5. Step 5: Solve for x
    x = 10,369.97/83.97
  6. Step 6: Final answer
    x = 123.50

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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.