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Finding the Fourth Proportional to 231,734, 319,792.92 and 125,750

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Solution

The fourth proportional to 231,734, 319,792.92 and 125,750 is: 173,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,734 : 319,792.92 = 125,750 : x
  2. Step 2: Convert to fraction form
    231,734/319,792.92 = 125,750/x
  3. Step 3: Cross multiply
    231,734x = 319,792.92 × 125,750
  4. Step 4: Simplify right side
    231,734x = 40,213,959,690
  5. Step 5: Solve for x
    x = 40,213,959,690/231,734
  6. Step 6: Final answer
    x = 173,535

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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.