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Finding the Fourth Proportional to 129,644.10, 194,138.10 and 123,739.20

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Solution

The fourth proportional to 129,644.10, 194,138.10 and 123,739.20 is: 185,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,644.10 : 194,138.10 = 123,739.20 : x
  2. Step 2: Convert to fraction form
    129,644.10/194,138.10 = 123,739.20/x
  3. Step 3: Cross multiply
    129,644.10x = 194,138.10 × 123,739.20
  4. Step 4: Simplify right side
    129,644.10x = 24,022,493,183.52
  5. Step 5: Solve for x
    x = 24,022,493,183.52/129,644.10
  6. Step 6: Final answer
    x = 185,295.69

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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.