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Finding the Fourth Proportional to 75,892.91, 104,761.78 and 67,921.30

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Solution

The fourth proportional to 75,892.91, 104,761.78 and 67,921.30 is: 93,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892.91 : 104,761.78 = 67,921.30 : x
  2. Step 2: Convert to fraction form
    75,892.91/104,761.78 = 67,921.30/x
  3. Step 3: Cross multiply
    75,892.91x = 104,761.78 × 67,921.30
  4. Step 4: Simplify right side
    75,892.91x = 7,115,556,287.91
  5. Step 5: Solve for x
    x = 7,115,556,287.91/75,892.91
  6. Step 6: Final answer
    x = 93,757.85

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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.