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Finding the Fourth Proportional to 259,570.80, 389,356.20 and 82,091.70

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Solution

The fourth proportional to 259,570.80, 389,356.20 and 82,091.70 is: 123,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,570.80 : 389,356.20 = 82,091.70 : x
  2. Step 2: Convert to fraction form
    259,570.80/389,356.20 = 82,091.70/x
  3. Step 3: Cross multiply
    259,570.80x = 389,356.20 × 82,091.70
  4. Step 4: Simplify right side
    259,570.80x = 31,962,912,363.54
  5. Step 5: Solve for x
    x = 31,962,912,363.54/259,570.80
  6. Step 6: Final answer
    x = 123,137.55

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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.