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Finding the Fourth Proportional to 129.39, 195.02 and 111.57

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Solution

The fourth proportional to 129.39, 195.02 and 111.57 is: 168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.39 : 195.02 = 111.57 : x
  2. Step 2: Convert to fraction form
    129.39/195.02 = 111.57/x
  3. Step 3: Cross multiply
    129.39x = 195.02 × 111.57
  4. Step 4: Simplify right side
    129.39x = 21,757.82
  5. Step 5: Solve for x
    x = 21,757.82/129.39
  6. Step 6: Final answer
    x = 168.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.