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Finding the Fourth Proportional to 259,871.92, 389,821.74 and 82,392.82

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Solution

The fourth proportional to 259,871.92, 389,821.74 and 82,392.82 is: 123,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,871.92 : 389,821.74 = 82,392.82 : x
  2. Step 2: Convert to fraction form
    259,871.92/389,821.74 = 82,392.82/x
  3. Step 3: Cross multiply
    259,871.92x = 389,821.74 × 82,392.82
  4. Step 4: Simplify right side
    259,871.92x = 32,118,512,455.91
  5. Step 5: Solve for x
    x = 32,118,512,455.91/259,871.92
  6. Step 6: Final answer
    x = 123,593.62

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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.