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Finding the Fourth Proportional to 120,180.78, 165,861.90 and 69,195.24

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Solution

The fourth proportional to 120,180.78, 165,861.90 and 69,195.24 is: 95,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,180.78 : 165,861.90 = 69,195.24 : x
  2. Step 2: Convert to fraction form
    120,180.78/165,861.90 = 69,195.24/x
  3. Step 3: Cross multiply
    120,180.78x = 165,861.90 × 69,195.24
  4. Step 4: Simplify right side
    120,180.78x = 11,476,853,977.36
  5. Step 5: Solve for x
    x = 11,476,853,977.36/120,180.78
  6. Step 6: Final answer
    x = 95,496.58

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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.