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Finding the Fourth Proportional to 126,163.20, 189,244.80 and 103,612.80

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Solution

The fourth proportional to 126,163.20, 189,244.80 and 103,612.80 is: 155,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,163.20 : 189,244.80 = 103,612.80 : x
  2. Step 2: Convert to fraction form
    126,163.20/189,244.80 = 103,612.80/x
  3. Step 3: Cross multiply
    126,163.20x = 189,244.80 × 103,612.80
  4. Step 4: Simplify right side
    126,163.20x = 19,608,183,613.44
  5. Step 5: Solve for x
    x = 19,608,183,613.44/126,163.20
  6. Step 6: Final answer
    x = 155,419.20

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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.