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Finding the Fourth Proportional to 68,268.25, 102,414.11 and 20,882.21

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Solution

The fourth proportional to 68,268.25, 102,414.11 and 20,882.21 is: 31,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,268.25 : 102,414.11 = 20,882.21 : x
  2. Step 2: Convert to fraction form
    68,268.25/102,414.11 = 20,882.21/x
  3. Step 3: Cross multiply
    68,268.25x = 102,414.11 × 20,882.21
  4. Step 4: Simplify right side
    68,268.25x = 2,138,632,335.50
  5. Step 5: Solve for x
    x = 2,138,632,335.50/68,268.25
  6. Step 6: Final answer
    x = 31,326.89

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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.