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Finding the Fourth Proportional to 120,162.69, 165,836.97 and 69,177.24

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Solution

The fourth proportional to 120,162.69, 165,836.97 and 69,177.24 is: 95,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,162.69 : 165,836.97 = 69,177.24 : x
  2. Step 2: Convert to fraction form
    120,162.69/165,836.97 = 69,177.24/x
  3. Step 3: Cross multiply
    120,162.69x = 165,836.97 × 69,177.24
  4. Step 4: Simplify right side
    120,162.69x = 11,472,143,874.56
  5. Step 5: Solve for x
    x = 11,472,143,874.56/120,162.69
  6. Step 6: Final answer
    x = 95,471.76

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1.5x scale

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.