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Finding the Fourth Proportional to 129,903.20, 194,854.80 and 108,033.20

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Solution

The fourth proportional to 129,903.20, 194,854.80 and 108,033.20 is: 162,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,903.20 : 194,854.80 = 108,033.20 : x
  2. Step 2: Convert to fraction form
    129,903.20/194,854.80 = 108,033.20/x
  3. Step 3: Cross multiply
    129,903.20x = 194,854.80 × 108,033.20
  4. Step 4: Simplify right side
    129,903.20x = 21,050,787,579.36
  5. Step 5: Solve for x
    x = 21,050,787,579.36/129,903.20
  6. Step 6: Final answer
    x = 162,049.80

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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.