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Finding the Fourth Proportional to 119,914.82, 165,478.11 and 66,198.68

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Solution

The fourth proportional to 119,914.82, 165,478.11 and 66,198.68 is: 91,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,914.82 : 165,478.11 = 66,198.68 : x
  2. Step 2: Convert to fraction form
    119,914.82/165,478.11 = 66,198.68/x
  3. Step 3: Cross multiply
    119,914.82x = 165,478.11 × 66,198.68
  4. Step 4: Simplify right side
    119,914.82x = 10,954,432,507.78
  5. Step 5: Solve for x
    x = 10,954,432,507.78/119,914.82
  6. Step 6: Final answer
    x = 91,351.78

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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.