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Finding the Fourth Proportional to 259,832.70, 389,761.20 and 82,353.60

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Solution

The fourth proportional to 259,832.70, 389,761.20 and 82,353.60 is: 123,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,832.70 : 389,761.20 = 82,353.60 : x
  2. Step 2: Convert to fraction form
    259,832.70/389,761.20 = 82,353.60/x
  3. Step 3: Cross multiply
    259,832.70x = 389,761.20 × 82,353.60
  4. Step 4: Simplify right side
    259,832.70x = 32,098,237,960.32
  5. Step 5: Solve for x
    x = 32,098,237,960.32/259,832.70
  6. Step 6: Final answer
    x = 123,534.25

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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.