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Finding the Fourth Proportional to 231,707.78, 319,761.60 and 131,105.78

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Solution

The fourth proportional to 231,707.78, 319,761.60 and 131,105.78 is: 180,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,707.78 : 319,761.60 = 131,105.78 : x
  2. Step 2: Convert to fraction form
    231,707.78/319,761.60 = 131,105.78/x
  3. Step 3: Cross multiply
    231,707.78x = 319,761.60 × 131,105.78
  4. Step 4: Simplify right side
    231,707.78x = 41,922,593,982.05
  5. Step 5: Solve for x
    x = 41,922,593,982.05/231,707.78
  6. Step 6: Final answer
    x = 180,928.73

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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.