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Finding the Fourth Proportional to 80,645.68, 120,978.24 and 33,892.48

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Solution

The fourth proportional to 80,645.68, 120,978.24 and 33,892.48 is: 50,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,645.68 : 120,978.24 = 33,892.48 : x
  2. Step 2: Convert to fraction form
    80,645.68/120,978.24 = 33,892.48/x
  3. Step 3: Cross multiply
    80,645.68x = 120,978.24 × 33,892.48
  4. Step 4: Simplify right side
    80,645.68x = 4,100,252,579.64
  5. Step 5: Solve for x
    x = 4,100,252,579.64/80,645.68
  6. Step 6: Final answer
    x = 50,842.80

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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.