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Finding the Fourth Proportional to 115,234.86, 172,789.80 and 51,981

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Solution

The fourth proportional to 115,234.86, 172,789.80 and 51,981 is: 77,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,234.86 : 172,789.80 = 51,981 : x
  2. Step 2: Convert to fraction form
    115,234.86/172,789.80 = 51,981/x
  3. Step 3: Cross multiply
    115,234.86x = 172,789.80 × 51,981
  4. Step 4: Simplify right side
    115,234.86x = 8,981,786,593.80
  5. Step 5: Solve for x
    x = 8,981,786,593.80/115,234.86
  6. Step 6: Final answer
    x = 77,943.31

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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.