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Finding the Fourth Proportional to 99,812.44, 137,735.31 and 54,481.42

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Solution

The fourth proportional to 99,812.44, 137,735.31 and 54,481.42 is: 75,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812.44 : 137,735.31 = 54,481.42 : x
  2. Step 2: Convert to fraction form
    99,812.44/137,735.31 = 54,481.42/x
  3. Step 3: Cross multiply
    99,812.44x = 137,735.31 × 54,481.42
  4. Step 4: Simplify right side
    99,812.44x = 7,504,015,272.94
  5. Step 5: Solve for x
    x = 7,504,015,272.94/99,812.44
  6. Step 6: Final answer
    x = 75,181.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.