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Finding the Fourth Proportional to 133,761.80, 200,739.90 and 54,932.60

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Solution

The fourth proportional to 133,761.80, 200,739.90 and 54,932.60 is: 82,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,761.80 : 200,739.90 = 54,932.60 : x
  2. Step 2: Convert to fraction form
    133,761.80/200,739.90 = 54,932.60/x
  3. Step 3: Cross multiply
    133,761.80x = 200,739.90 × 54,932.60
  4. Step 4: Simplify right side
    133,761.80x = 11,027,164,630.74
  5. Step 5: Solve for x
    x = 11,027,164,630.74/133,761.80
  6. Step 6: Final answer
    x = 82,438.82

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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.