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Finding the Fourth Proportional to 129.49, 193.93 and 81.29

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Solution

The fourth proportional to 129.49, 193.93 and 81.29 is: 121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.49 : 193.93 = 81.29 : x
  2. Step 2: Convert to fraction form
    129.49/193.93 = 81.29/x
  3. Step 3: Cross multiply
    129.49x = 193.93 × 81.29
  4. Step 4: Simplify right side
    129.49x = 15,764.57
  5. Step 5: Solve for x
    x = 15,764.57/129.49
  6. Step 6: Final answer
    x = 121.74

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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.