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Finding the Fourth Proportional to 205,506.90, 283,610.25 and 124,921.20

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Solution

The fourth proportional to 205,506.90, 283,610.25 and 124,921.20 is: 172,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,506.90 : 283,610.25 = 124,921.20 : x
  2. Step 2: Convert to fraction form
    205,506.90/283,610.25 = 124,921.20/x
  3. Step 3: Cross multiply
    205,506.90x = 283,610.25 × 124,921.20
  4. Step 4: Simplify right side
    205,506.90x = 35,428,932,762.30
  5. Step 5: Solve for x
    x = 35,428,932,762.30/205,506.90
  6. Step 6: Final answer
    x = 172,397.78

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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.