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Finding the Fourth Proportional to 205,909.20, 308,863.80 and 72,793.80

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Solution

The fourth proportional to 205,909.20, 308,863.80 and 72,793.80 is: 109,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.20 : 308,863.80 = 72,793.80 : x
  2. Step 2: Convert to fraction form
    205,909.20/308,863.80 = 72,793.80/x
  3. Step 3: Cross multiply
    205,909.20x = 308,863.80 × 72,793.80
  4. Step 4: Simplify right side
    205,909.20x = 22,483,369,684.44
  5. Step 5: Solve for x
    x = 22,483,369,684.44/205,909.20
  6. Step 6: Final answer
    x = 109,190.70

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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.