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Finding the Fourth Proportional to 259,589.88, 389,406.69 and 82,092.96

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Solution

The fourth proportional to 259,589.88, 389,406.69 and 82,092.96 is: 123,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,589.88 : 389,406.69 = 82,092.96 : x
  2. Step 2: Convert to fraction form
    259,589.88/389,406.69 = 82,092.96/x
  3. Step 3: Cross multiply
    259,589.88x = 389,406.69 × 82,092.96
  4. Step 4: Simplify right side
    259,589.88x = 31,967,547,825.90
  5. Step 5: Solve for x
    x = 31,967,547,825.90/259,589.88
  6. Step 6: Final answer
    x = 123,146.36

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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.