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Finding the Fourth Proportional to 229,909.86, 344,923.11 and 72,139.68

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Solution

The fourth proportional to 229,909.86, 344,923.11 and 72,139.68 is: 108,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,909.86 : 344,923.11 = 72,139.68 : x
  2. Step 2: Convert to fraction form
    229,909.86/344,923.11 = 72,139.68/x
  3. Step 3: Cross multiply
    229,909.86x = 344,923.11 × 72,139.68
  4. Step 4: Simplify right side
    229,909.86x = 24,882,642,780.00
  5. Step 5: Solve for x
    x = 24,882,642,780.00/229,909.86
  6. Step 6: Final answer
    x = 108,227.82

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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.