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Finding the Fourth Proportional to 99,162, 136,843.56 and 54,450

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Solution

The fourth proportional to 99,162, 136,843.56 and 54,450 is: 75,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,162 : 136,843.56 = 54,450 : x
  2. Step 2: Convert to fraction form
    99,162/136,843.56 = 54,450/x
  3. Step 3: Cross multiply
    99,162x = 136,843.56 × 54,450
  4. Step 4: Simplify right side
    99,162x = 7,451,131,842
  5. Step 5: Solve for x
    x = 7,451,131,842/99,162
  6. Step 6: Final answer
    x = 75,141

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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.