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Finding the Fourth Proportional to 259,761.93, 389,640.19 and 82,268.92

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Solution

The fourth proportional to 259,761.93, 389,640.19 and 82,268.92 is: 123,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,761.93 : 389,640.19 = 82,268.92 : x
  2. Step 2: Convert to fraction form
    259,761.93/389,640.19 = 82,268.92/x
  3. Step 3: Cross multiply
    259,761.93x = 389,640.19 × 82,268.92
  4. Step 4: Simplify right side
    259,761.93x = 32,055,277,619.89
  5. Step 5: Solve for x
    x = 32,055,277,619.89/259,761.93
  6. Step 6: Final answer
    x = 123,402.52

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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.