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Finding the Fourth Proportional to 231,822.92, 319,923.50 and 129,852.76

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Solution

The fourth proportional to 231,822.92, 319,923.50 and 129,852.76 is: 179,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,822.92 : 319,923.50 = 129,852.76 : x
  2. Step 2: Convert to fraction form
    231,822.92/319,923.50 = 129,852.76/x
  3. Step 3: Cross multiply
    231,822.92x = 319,923.50 × 129,852.76
  4. Step 4: Simplify right side
    231,822.92x = 41,542,949,463.86
  5. Step 5: Solve for x
    x = 41,542,949,463.86/231,822.92
  6. Step 6: Final answer
    x = 179,201.22

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