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Finding the Fourth Proportional to 259,675.56, 389,474.28 and 82,159.47

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Solution

The fourth proportional to 259,675.56, 389,474.28 and 82,159.47 is: 123,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,675.56 : 389,474.28 = 82,159.47 : x
  2. Step 2: Convert to fraction form
    259,675.56/389,474.28 = 82,159.47/x
  3. Step 3: Cross multiply
    259,675.56x = 389,474.28 × 82,159.47
  4. Step 4: Simplify right side
    259,675.56x = 31,999,000,423.43
  5. Step 5: Solve for x
    x = 31,999,000,423.43/259,675.56
  6. Step 6: Final answer
    x = 123,226.85

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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.