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Finding the Fourth Proportional to 259,717.69, 389,537.56 and 82,201.69

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Solution

The fourth proportional to 259,717.69, 389,537.56 and 82,201.69 is: 123,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717.69 : 389,537.56 = 82,201.69 : x
  2. Step 2: Convert to fraction form
    259,717.69/389,537.56 = 82,201.69/x
  3. Step 3: Cross multiply
    259,717.69x = 389,537.56 × 82,201.69
  4. Step 4: Simplify right side
    259,717.69x = 32,020,645,750.48
  5. Step 5: Solve for x
    x = 32,020,645,750.48/259,717.69
  6. Step 6: Final answer
    x = 123,290.20

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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.