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Finding the Fourth Proportional to 119,914.78, 165,478.05 and 66,198.64

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Solution

The fourth proportional to 119,914.78, 165,478.05 and 66,198.64 is: 91,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,914.78 : 165,478.05 = 66,198.64 : x
  2. Step 2: Convert to fraction form
    119,914.78/165,478.05 = 66,198.64/x
  3. Step 3: Cross multiply
    119,914.78x = 165,478.05 × 66,198.64
  4. Step 4: Simplify right side
    119,914.78x = 10,954,421,859.85
  5. Step 5: Solve for x
    x = 10,954,421,859.85/119,914.78
  6. Step 6: Final answer
    x = 91,351.72

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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.