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Finding the Fourth Proportional to 129.72, 177.92 and 115.14

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Solution

The fourth proportional to 129.72, 177.92 and 115.14 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 177.92 = 115.14 : x
  2. Step 2: Convert to fraction form
    129.72/177.92 = 115.14/x
  3. Step 3: Cross multiply
    129.72x = 177.92 × 115.14
  4. Step 4: Simplify right side
    129.72x = 20,485.13
  5. Step 5: Solve for x
    x = 20,485.13/129.72
  6. Step 6: Final answer
    x = 157.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.