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Finding the Fourth Proportional to 259,589.76, 389,382.08 and 82,096.80

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Solution

The fourth proportional to 259,589.76, 389,382.08 and 82,096.80 is: 123,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,589.76 : 389,382.08 = 82,096.80 : x
  2. Step 2: Convert to fraction form
    259,589.76/389,382.08 = 82,096.80/x
  3. Step 3: Cross multiply
    259,589.76x = 389,382.08 × 82,096.80
  4. Step 4: Simplify right side
    259,589.76x = 31,967,022,745.34
  5. Step 5: Solve for x
    x = 31,967,022,745.34/259,589.76
  6. Step 6: Final answer
    x = 123,144.39

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1.5x scale

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.