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Finding the Fourth Proportional to 83.81, 125.17 and 70.16

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Solution

The fourth proportional to 83.81, 125.17 and 70.16 is: 104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.81 : 125.17 = 70.16 : x
  2. Step 2: Convert to fraction form
    83.81/125.17 = 70.16/x
  3. Step 3: Cross multiply
    83.81x = 125.17 × 70.16
  4. Step 4: Simplify right side
    83.81x = 8,781.93
  5. Step 5: Solve for x
    x = 8,781.93/83.81
  6. Step 6: Final answer
    x = 104.78

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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.