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Finding the Fourth Proportional to 261,163.78, 391,714.99 and 71,643.29

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Solution

The fourth proportional to 261,163.78, 391,714.99 and 71,643.29 is: 107,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,163.78 : 391,714.99 = 71,643.29 : x
  2. Step 2: Convert to fraction form
    261,163.78/391,714.99 = 71,643.29/x
  3. Step 3: Cross multiply
    261,163.78x = 391,714.99 × 71,643.29
  4. Step 4: Simplify right side
    261,163.78x = 28,063,748,488.23
  5. Step 5: Solve for x
    x = 28,063,748,488.23/261,163.78
  6. Step 6: Final answer
    x = 107,456.51

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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.