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Finding the Fourth Proportional to 259,833.92, 389,761.72 and 82,337

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Solution

The fourth proportional to 259,833.92, 389,761.72 and 82,337 is: 123,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,833.92 : 389,761.72 = 82,337 : x
  2. Step 2: Convert to fraction form
    259,833.92/389,761.72 = 82,337/x
  3. Step 3: Cross multiply
    259,833.92x = 389,761.72 × 82,337
  4. Step 4: Simplify right side
    259,833.92x = 32,091,810,739.64
  5. Step 5: Solve for x
    x = 32,091,810,739.64/259,833.92
  6. Step 6: Final answer
    x = 123,508.94

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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.