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Finding the Fourth Proportional to 83.73, 114.72 and 82.71

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Solution

The fourth proportional to 83.73, 114.72 and 82.71 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.73 : 114.72 = 82.71 : x
  2. Step 2: Convert to fraction form
    83.73/114.72 = 82.71/x
  3. Step 3: Cross multiply
    83.73x = 114.72 × 82.71
  4. Step 4: Simplify right side
    83.73x = 9,488.49
  5. Step 5: Solve for x
    x = 9,488.49/83.73
  6. Step 6: Final answer
    x = 113.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.