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Finding the Fourth Proportional to 259,832.92, 389,760.22 and 82,336

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Solution

The fourth proportional to 259,832.92, 389,760.22 and 82,336 is: 123,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,832.92 : 389,760.22 = 82,336 : x
  2. Step 2: Convert to fraction form
    259,832.92/389,760.22 = 82,336/x
  3. Step 3: Cross multiply
    259,832.92x = 389,760.22 × 82,336
  4. Step 4: Simplify right side
    259,832.92x = 32,091,297,473.92
  5. Step 5: Solve for x
    x = 32,091,297,473.92/259,832.92
  6. Step 6: Final answer
    x = 123,507.43

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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.