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Finding the Fourth Proportional to 231,750, 319,815 and 125,766

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Solution

The fourth proportional to 231,750, 319,815 and 125,766 is: 173,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,750 : 319,815 = 125,766 : x
  2. Step 2: Convert to fraction form
    231,750/319,815 = 125,766/x
  3. Step 3: Cross multiply
    231,750x = 319,815 × 125,766
  4. Step 4: Simplify right side
    231,750x = 40,221,853,290
  5. Step 5: Solve for x
    x = 40,221,853,290/231,750
  6. Step 6: Final answer
    x = 173,557.08

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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.