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Finding the Fourth Proportional to 279,846.96, 419,646.90 and 80,122.02

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Solution

The fourth proportional to 279,846.96, 419,646.90 and 80,122.02 is: 120,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,846.96 : 419,646.90 = 80,122.02 : x
  2. Step 2: Convert to fraction form
    279,846.96/419,646.90 = 80,122.02/x
  3. Step 3: Cross multiply
    279,846.96x = 419,646.90 × 80,122.02
  4. Step 4: Simplify right side
    279,846.96x = 33,622,957,314.74
  5. Step 5: Solve for x
    x = 33,622,957,314.74/279,846.96
  6. Step 6: Final answer
    x = 120,147.66

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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.