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Finding the Fourth Proportional to 271,234.86, 406,805.85 and 71,557.31

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Solution

The fourth proportional to 271,234.86, 406,805.85 and 71,557.31 is: 107,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,234.86 : 406,805.85 = 71,557.31 : x
  2. Step 2: Convert to fraction form
    271,234.86/406,805.85 = 71,557.31/x
  3. Step 3: Cross multiply
    271,234.86x = 406,805.85 × 71,557.31
  4. Step 4: Simplify right side
    271,234.86x = 29,109,930,284.23
  5. Step 5: Solve for x
    x = 29,109,930,284.23/271,234.86
  6. Step 6: Final answer
    x = 107,323.71

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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.