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Finding the Fourth Proportional to 231,755, 319,821.90 and 125,771

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Solution

The fourth proportional to 231,755, 319,821.90 and 125,771 is: 173,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,755 : 319,821.90 = 125,771 : x
  2. Step 2: Convert to fraction form
    231,755/319,821.90 = 125,771/x
  3. Step 3: Cross multiply
    231,755x = 319,821.90 × 125,771
  4. Step 4: Simplify right side
    231,755x = 40,224,320,184.90
  5. Step 5: Solve for x
    x = 40,224,320,184.90/231,755
  6. Step 6: Final answer
    x = 173,563.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.