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Finding the Fourth Proportional to 259,672.30, 389,508.45 and 82,193.20

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Solution

The fourth proportional to 259,672.30, 389,508.45 and 82,193.20 is: 123,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,672.30 : 389,508.45 = 82,193.20 : x
  2. Step 2: Convert to fraction form
    259,672.30/389,508.45 = 82,193.20/x
  3. Step 3: Cross multiply
    259,672.30x = 389,508.45 × 82,193.20
  4. Step 4: Simplify right side
    259,672.30x = 32,014,945,932.54
  5. Step 5: Solve for x
    x = 32,014,945,932.54/259,672.30
  6. Step 6: Final answer
    x = 123,289.80

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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.