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Finding the Fourth Proportional to 198,410.56, 297,614.22 and 80,080.09

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Solution

The fourth proportional to 198,410.56, 297,614.22 and 80,080.09 is: 120,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,410.56 : 297,614.22 = 80,080.09 : x
  2. Step 2: Convert to fraction form
    198,410.56/297,614.22 = 80,080.09/x
  3. Step 3: Cross multiply
    198,410.56x = 297,614.22 × 80,080.09
  4. Step 4: Simplify right side
    198,410.56x = 23,832,973,522.88
  5. Step 5: Solve for x
    x = 23,832,973,522.88/198,410.56
  6. Step 6: Final answer
    x = 120,119.48

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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.