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Finding the Fourth Proportional to 129,147, 193,728.69 and 34,375.63

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Solution

The fourth proportional to 129,147, 193,728.69 and 34,375.63 is: 51,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,147 : 193,728.69 = 34,375.63 : x
  2. Step 2: Convert to fraction form
    129,147/193,728.69 = 34,375.63/x
  3. Step 3: Cross multiply
    129,147x = 193,728.69 × 34,375.63
  4. Step 4: Simplify right side
    129,147x = 6,659,545,767.82
  5. Step 5: Solve for x
    x = 6,659,545,767.82/129,147
  6. Step 6: Final answer
    x = 51,565.62

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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.