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Finding the Fourth Proportional to 250,723.85, 375,732.14 and 138,454.61

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Solution

The fourth proportional to 250,723.85, 375,732.14 and 138,454.61 is: 207,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,723.85 : 375,732.14 = 138,454.61 : x
  2. Step 2: Convert to fraction form
    250,723.85/375,732.14 = 138,454.61/x
  3. Step 3: Cross multiply
    250,723.85x = 375,732.14 × 138,454.61
  4. Step 4: Simplify right side
    250,723.85x = 52,021,847,254.30
  5. Step 5: Solve for x
    x = 52,021,847,254.30/250,723.85
  6. Step 6: Final answer
    x = 207,486.63

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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.