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Finding the Fourth Proportional to 259,674.05, 389,472.03 and 82,157.96

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Solution

The fourth proportional to 259,674.05, 389,472.03 and 82,157.96 is: 123,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,674.05 : 389,472.03 = 82,157.96 : x
  2. Step 2: Convert to fraction form
    259,674.05/389,472.03 = 82,157.96/x
  3. Step 3: Cross multiply
    259,674.05x = 389,472.03 × 82,157.96
  4. Step 4: Simplify right side
    259,674.05x = 31,998,228,435.54
  5. Step 5: Solve for x
    x = 31,998,228,435.54/259,674.05
  6. Step 6: Final answer
    x = 123,224.59

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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.