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Finding the Fourth Proportional to 132,408.10, 198,697.20 and 73,286.20

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Solution

The fourth proportional to 132,408.10, 198,697.20 and 73,286.20 is: 109,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,408.10 : 198,697.20 = 73,286.20 : x
  2. Step 2: Convert to fraction form
    132,408.10/198,697.20 = 73,286.20/x
  3. Step 3: Cross multiply
    132,408.10x = 198,697.20 × 73,286.20
  4. Step 4: Simplify right side
    132,408.10x = 14,561,762,738.64
  5. Step 5: Solve for x
    x = 14,561,762,738.64/132,408.10
  6. Step 6: Final answer
    x = 109,976.37

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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.