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Finding the Fourth Proportional to 259,496.52, 389,211.30 and 82,021.47

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Solution

The fourth proportional to 259,496.52, 389,211.30 and 82,021.47 is: 123,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,496.52 : 389,211.30 = 82,021.47 : x
  2. Step 2: Convert to fraction form
    259,496.52/389,211.30 = 82,021.47/x
  3. Step 3: Cross multiply
    259,496.52x = 389,211.30 × 82,021.47
  4. Step 4: Simplify right side
    259,496.52x = 31,923,682,966.61
  5. Step 5: Solve for x
    x = 31,923,682,966.61/259,496.52
  6. Step 6: Final answer
    x = 123,021.62

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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.