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Finding the Fourth Proportional to 203,287, 280,536.06 and 123,799

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Solution

The fourth proportional to 203,287, 280,536.06 and 123,799 is: 170,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,287 : 280,536.06 = 123,799 : x
  2. Step 2: Convert to fraction form
    203,287/280,536.06 = 123,799/x
  3. Step 3: Cross multiply
    203,287x = 280,536.06 × 123,799
  4. Step 4: Simplify right side
    203,287x = 34,730,083,691.94
  5. Step 5: Solve for x
    x = 34,730,083,691.94/203,287
  6. Step 6: Final answer
    x = 170,842.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.