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Finding the Fourth Proportional to 279,843.63, 419,641.92 and 80,118.69

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Solution

The fourth proportional to 279,843.63, 419,641.92 and 80,118.69 is: 120,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,843.63 : 419,641.92 = 80,118.69 : x
  2. Step 2: Convert to fraction form
    279,843.63/419,641.92 = 80,118.69/x
  3. Step 3: Cross multiply
    279,843.63x = 419,641.92 × 80,118.69
  4. Step 4: Simplify right side
    279,843.63x = 33,621,161,836.54
  5. Step 5: Solve for x
    x = 33,621,161,836.54/279,843.63
  6. Step 6: Final answer
    x = 120,142.67

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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.