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Finding the Fourth Proportional to 83.56, 124.49 and 81.76

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Solution

The fourth proportional to 83.56, 124.49 and 81.76 is: 121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.56 : 124.49 = 81.76 : x
  2. Step 2: Convert to fraction form
    83.56/124.49 = 81.76/x
  3. Step 3: Cross multiply
    83.56x = 124.49 × 81.76
  4. Step 4: Simplify right side
    83.56x = 10,178.30
  5. Step 5: Solve for x
    x = 10,178.30/83.56
  6. Step 6: Final answer
    x = 121.81

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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.