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Finding the Fourth Proportional to 133,080.81, 199,617.85 and 54,194.82

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Solution

The fourth proportional to 133,080.81, 199,617.85 and 54,194.82 is: 81,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080.81 : 199,617.85 = 54,194.82 : x
  2. Step 2: Convert to fraction form
    133,080.81/199,617.85 = 54,194.82/x
  3. Step 3: Cross multiply
    133,080.81x = 199,617.85 × 54,194.82
  4. Step 4: Simplify right side
    133,080.81x = 10,818,253,449.54
  5. Step 5: Solve for x
    x = 10,818,253,449.54/133,080.81
  6. Step 6: Final answer
    x = 81,290.86

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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.