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Finding the Fourth Proportional to 133,471.80, 200,321.10 and 54,642.60

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Solution

The fourth proportional to 133,471.80, 200,321.10 and 54,642.60 is: 82,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,471.80 : 200,321.10 = 54,642.60 : x
  2. Step 2: Convert to fraction form
    133,471.80/200,321.10 = 54,642.60/x
  3. Step 3: Cross multiply
    133,471.80x = 200,321.10 × 54,642.60
  4. Step 4: Simplify right side
    133,471.80x = 10,946,065,738.86
  5. Step 5: Solve for x
    x = 10,946,065,738.86/133,471.80
  6. Step 6: Final answer
    x = 82,010.33

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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.