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Finding the Fourth Proportional to 259,805.13, 389,719.03 and 82,325.22

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Solution

The fourth proportional to 259,805.13, 389,719.03 and 82,325.22 is: 123,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,805.13 : 389,719.03 = 82,325.22 : x
  2. Step 2: Convert to fraction form
    259,805.13/389,719.03 = 82,325.22/x
  3. Step 3: Cross multiply
    259,805.13x = 389,719.03 × 82,325.22
  4. Step 4: Simplify right side
    259,805.13x = 32,083,704,882.94
  5. Step 5: Solve for x
    x = 32,083,704,882.94/259,805.13
  6. Step 6: Final answer
    x = 123,491.42

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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.