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Finding the Fourth Proportional to 279,847.96, 419,648.40 and 80,123.02

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Solution

The fourth proportional to 279,847.96, 419,648.40 and 80,123.02 is: 120,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,847.96 : 419,648.40 = 80,123.02 : x
  2. Step 2: Convert to fraction form
    279,847.96/419,648.40 = 80,123.02/x
  3. Step 3: Cross multiply
    279,847.96x = 419,648.40 × 80,123.02
  4. Step 4: Simplify right side
    279,847.96x = 33,623,497,146.17
  5. Step 5: Solve for x
    x = 33,623,497,146.17/279,847.96
  6. Step 6: Final answer
    x = 120,149.16

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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.