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Finding the Fourth Proportional to 133,403.31, 200,105.10 and 54,503.64

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Solution

The fourth proportional to 133,403.31, 200,105.10 and 54,503.64 is: 81,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,403.31 : 200,105.10 = 54,503.64 : x
  2. Step 2: Convert to fraction form
    133,403.31/200,105.10 = 54,503.64/x
  3. Step 3: Cross multiply
    133,403.31x = 200,105.10 × 54,503.64
  4. Step 4: Simplify right side
    133,403.31x = 10,906,456,332.56
  5. Step 5: Solve for x
    x = 10,906,456,332.56/133,403.31
  6. Step 6: Final answer
    x = 81,755.52

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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.