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Finding the Fourth Proportional to 205,659.89, 308,489.23 and 72,508.04

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Solution

The fourth proportional to 205,659.89, 308,489.23 and 72,508.04 is: 108,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,659.89 : 308,489.23 = 72,508.04 : x
  2. Step 2: Convert to fraction form
    205,659.89/308,489.23 = 72,508.04/x
  3. Step 3: Cross multiply
    205,659.89x = 308,489.23 × 72,508.04
  4. Step 4: Simplify right side
    205,659.89x = 22,367,950,018.36
  5. Step 5: Solve for x
    x = 22,367,950,018.36/205,659.89
  6. Step 6: Final answer
    x = 108,761.85

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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.