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Finding the Fourth Proportional to 260,037.80, 389,765.10 and 133,629.20

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Solution

The fourth proportional to 260,037.80, 389,765.10 and 133,629.20 is: 200,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,037.80 : 389,765.10 = 133,629.20 : x
  2. Step 2: Convert to fraction form
    260,037.80/389,765.10 = 133,629.20/x
  3. Step 3: Cross multiply
    260,037.80x = 389,765.10 × 133,629.20
  4. Step 4: Simplify right side
    260,037.80x = 52,083,998,500.92
  5. Step 5: Solve for x
    x = 52,083,998,500.92/260,037.80
  6. Step 6: Final answer
    x = 200,293.95

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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.