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Finding the Fourth Proportional to 259,950.85, 389,940.14 and 82,471.53

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Solution

The fourth proportional to 259,950.85, 389,940.14 and 82,471.53 is: 123,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,950.85 : 389,940.14 = 82,471.53 : x
  2. Step 2: Convert to fraction form
    259,950.85/389,940.14 = 82,471.53/x
  3. Step 3: Cross multiply
    259,950.85x = 389,940.14 × 82,471.53
  4. Step 4: Simplify right side
    259,950.85x = 32,158,959,954.21
  5. Step 5: Solve for x
    x = 32,158,959,954.21/259,950.85
  6. Step 6: Final answer
    x = 123,711.69

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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.