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Finding the Fourth Proportional to 268,189.38, 402,287.76 and 68,511.42

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Solution

The fourth proportional to 268,189.38, 402,287.76 and 68,511.42 is: 102,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,189.38 : 402,287.76 = 68,511.42 : x
  2. Step 2: Convert to fraction form
    268,189.38/402,287.76 = 68,511.42/x
  3. Step 3: Cross multiply
    268,189.38x = 402,287.76 × 68,511.42
  4. Step 4: Simplify right side
    268,189.38x = 27,561,305,686.22
  5. Step 5: Solve for x
    x = 27,561,305,686.22/268,189.38
  6. Step 6: Final answer
    x = 102,768.07

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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.