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Finding the Fourth Proportional to 259,663.71, 389,456.59 and 82,147.66

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Solution

The fourth proportional to 259,663.71, 389,456.59 and 82,147.66 is: 123,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,663.71 : 389,456.59 = 82,147.66 : x
  2. Step 2: Convert to fraction form
    259,663.71/389,456.59 = 82,147.66/x
  3. Step 3: Cross multiply
    259,663.71x = 389,456.59 × 82,147.66
  4. Step 4: Simplify right side
    259,663.71x = 31,992,947,540.08
  5. Step 5: Solve for x
    x = 31,992,947,540.08/259,663.71
  6. Step 6: Final answer
    x = 123,209.16

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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.