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Finding the Fourth Proportional to 511,169.92, 766,754.78 and 137,192.92

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Solution

The fourth proportional to 511,169.92, 766,754.78 and 137,192.92 is: 205,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,169.92 : 766,754.78 = 137,192.92 : x
  2. Step 2: Convert to fraction form
    511,169.92/766,754.78 = 137,192.92/x
  3. Step 3: Cross multiply
    511,169.92x = 766,754.78 × 137,192.92
  4. Step 4: Simplify right side
    511,169.92x = 105,193,327,192.16
  5. Step 5: Solve for x
    x = 105,193,327,192.16/511,169.92
  6. Step 6: Final answer
    x = 205,789.35

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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.