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Finding the Fourth Proportional to 133,394.31, 200,091.80 and 54,508.55

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Solution

The fourth proportional to 133,394.31, 200,091.80 and 54,508.55 is: 81,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,394.31 : 200,091.80 = 54,508.55 : x
  2. Step 2: Convert to fraction form
    133,394.31/200,091.80 = 54,508.55/x
  3. Step 3: Cross multiply
    133,394.31x = 200,091.80 × 54,508.55
  4. Step 4: Simplify right side
    133,394.31x = 10,906,713,020.70
  5. Step 5: Solve for x
    x = 10,906,713,020.70/133,394.31
  6. Step 6: Final answer
    x = 81,762.96

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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.