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Finding the Fourth Proportional to 83.72, 125.06 and 76.16

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Solution

The fourth proportional to 83.72, 125.06 and 76.16 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.72 : 125.06 = 76.16 : x
  2. Step 2: Convert to fraction form
    83.72/125.06 = 76.16/x
  3. Step 3: Cross multiply
    83.72x = 125.06 × 76.16
  4. Step 4: Simplify right side
    83.72x = 9,524.57
  5. Step 5: Solve for x
    x = 9,524.57/83.72
  6. Step 6: Final answer
    x = 113.77

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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.