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Finding the Fourth Proportional to 133,542.40, 200,443.20 and 67,057.60

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Solution

The fourth proportional to 133,542.40, 200,443.20 and 67,057.60 is: 100,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542.40 : 200,443.20 = 67,057.60 : x
  2. Step 2: Convert to fraction form
    133,542.40/200,443.20 = 67,057.60/x
  3. Step 3: Cross multiply
    133,542.40x = 200,443.20 × 67,057.60
  4. Step 4: Simplify right side
    133,542.40x = 13,441,239,928.32
  5. Step 5: Solve for x
    x = 13,441,239,928.32/133,542.40
  6. Step 6: Final answer
    x = 100,651.48

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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.