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Finding the Fourth Proportional to 259,591.60, 389,427.90 and 82,081.72

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Solution

The fourth proportional to 259,591.60, 389,427.90 and 82,081.72 is: 123,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,591.60 : 389,427.90 = 82,081.72 : x
  2. Step 2: Convert to fraction form
    259,591.60/389,427.90 = 82,081.72/x
  3. Step 3: Cross multiply
    259,591.60x = 389,427.90 × 82,081.72
  4. Step 4: Simplify right side
    259,591.60x = 31,964,911,847.99
  5. Step 5: Solve for x
    x = 31,964,911,847.99/259,591.60
  6. Step 6: Final answer
    x = 123,135.39

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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.