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Finding the Fourth Proportional to 120,141.80, 165,789.54 and 67,149.80

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Solution

The fourth proportional to 120,141.80, 165,789.54 and 67,149.80 is: 92,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,141.80 : 165,789.54 = 67,149.80 : x
  2. Step 2: Convert to fraction form
    120,141.80/165,789.54 = 67,149.80/x
  3. Step 3: Cross multiply
    120,141.80x = 165,789.54 × 67,149.80
  4. Step 4: Simplify right side
    120,141.80x = 11,132,734,453.09
  5. Step 5: Solve for x
    x = 11,132,734,453.09/120,141.80
  6. Step 6: Final answer
    x = 92,663.29

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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.