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Finding the Fourth Proportional to 83.52, 124.20 and 82.62

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Solution

The fourth proportional to 83.52, 124.20 and 82.62 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.52 : 124.20 = 82.62 : x
  2. Step 2: Convert to fraction form
    83.52/124.20 = 82.62/x
  3. Step 3: Cross multiply
    83.52x = 124.20 × 82.62
  4. Step 4: Simplify right side
    83.52x = 10,261.40
  5. Step 5: Solve for x
    x = 10,261.40/83.52
  6. Step 6: Final answer
    x = 122.86

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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.