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Finding the Fourth Proportional to 83.57, 124.56 and 81.09

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Solution

The fourth proportional to 83.57, 124.56 and 81.09 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.57 : 124.56 = 81.09 : x
  2. Step 2: Convert to fraction form
    83.57/124.56 = 81.09/x
  3. Step 3: Cross multiply
    83.57x = 124.56 × 81.09
  4. Step 4: Simplify right side
    83.57x = 10,100.57
  5. Step 5: Solve for x
    x = 10,100.57/83.57
  6. Step 6: Final answer
    x = 120.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.