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Finding the Fourth Proportional to 231,581, 319,581.78 and 125,597

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Solution

The fourth proportional to 231,581, 319,581.78 and 125,597 is: 173,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,581 : 319,581.78 = 125,597 : x
  2. Step 2: Convert to fraction form
    231,581/319,581.78 = 125,597/x
  3. Step 3: Cross multiply
    231,581x = 319,581.78 × 125,597
  4. Step 4: Simplify right side
    231,581x = 40,138,512,822.66
  5. Step 5: Solve for x
    x = 40,138,512,822.66/231,581
  6. Step 6: Final answer
    x = 173,323.86

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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.