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Finding the Fourth Proportional to 129.68, 194.19 and 83.97

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Solution

The fourth proportional to 129.68, 194.19 and 83.97 is: 125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.68 : 194.19 = 83.97 : x
  2. Step 2: Convert to fraction form
    129.68/194.19 = 83.97/x
  3. Step 3: Cross multiply
    129.68x = 194.19 × 83.97
  4. Step 4: Simplify right side
    129.68x = 16,304.74
  5. Step 5: Solve for x
    x = 16,304.74/129.68
  6. Step 6: Final answer
    x = 125.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.