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Finding the Fourth Proportional to 133,778.40, 200,697.20 and 45,029

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Solution

The fourth proportional to 133,778.40, 200,697.20 and 45,029 is: 67,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778.40 : 200,697.20 = 45,029 : x
  2. Step 2: Convert to fraction form
    133,778.40/200,697.20 = 45,029/x
  3. Step 3: Cross multiply
    133,778.40x = 200,697.20 × 45,029
  4. Step 4: Simplify right side
    133,778.40x = 9,037,194,218.80
  5. Step 5: Solve for x
    x = 9,037,194,218.80/133,778.40
  6. Step 6: Final answer
    x = 67,553.46

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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.