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Finding the Fourth Proportional to 259,872.92, 389,823.24 and 82,393.82

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Solution

The fourth proportional to 259,872.92, 389,823.24 and 82,393.82 is: 123,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872.92 : 389,823.24 = 82,393.82 : x
  2. Step 2: Convert to fraction form
    259,872.92/389,823.24 = 82,393.82/x
  3. Step 3: Cross multiply
    259,872.92x = 389,823.24 × 82,393.82
  4. Step 4: Simplify right side
    259,872.92x = 32,119,025,868.38
  5. Step 5: Solve for x
    x = 32,119,025,868.38/259,872.92
  6. Step 6: Final answer
    x = 123,595.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.