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Finding the Fourth Proportional to 279,842.96, 419,640.92 and 80,118.02

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Solution

The fourth proportional to 279,842.96, 419,640.92 and 80,118.02 is: 120,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,842.96 : 419,640.92 = 80,118.02 : x
  2. Step 2: Convert to fraction form
    279,842.96/419,640.92 = 80,118.02/x
  3. Step 3: Cross multiply
    279,842.96x = 419,640.92 × 80,118.02
  4. Step 4: Simplify right side
    279,842.96x = 33,620,799,621.38
  5. Step 5: Solve for x
    x = 33,620,799,621.38/279,842.96
  6. Step 6: Final answer
    x = 120,141.67

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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.