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Finding the Fourth Proportional to 208,348.65, 312,335.87 and 75,197.61

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Solution

The fourth proportional to 208,348.65, 312,335.87 and 75,197.61 is: 112,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,348.65 : 312,335.87 = 75,197.61 : x
  2. Step 2: Convert to fraction form
    208,348.65/312,335.87 = 75,197.61/x
  3. Step 3: Cross multiply
    208,348.65x = 312,335.87 × 75,197.61
  4. Step 4: Simplify right side
    208,348.65x = 23,486,910,565.28
  5. Step 5: Solve for x
    x = 23,486,910,565.28/208,348.65
  6. Step 6: Final answer
    x = 112,728.88

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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.