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Finding the Fourth Proportional to 129.97, 195.14 and 81.43

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Solution

The fourth proportional to 129.97, 195.14 and 81.43 is: 122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.97 : 195.14 = 81.43 : x
  2. Step 2: Convert to fraction form
    129.97/195.14 = 81.43/x
  3. Step 3: Cross multiply
    129.97x = 195.14 × 81.43
  4. Step 4: Simplify right side
    129.97x = 15,889.27
  5. Step 5: Solve for x
    x = 15,889.27/129.97
  6. Step 6: Final answer
    x = 122.26

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Why These Related Problems?

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