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Finding the Fourth Proportional to 120,845.80, 181,268.70 and 92,819.80

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Solution

The fourth proportional to 120,845.80, 181,268.70 and 92,819.80 is: 139,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,845.80 : 181,268.70 = 92,819.80 : x
  2. Step 2: Convert to fraction form
    120,845.80/181,268.70 = 92,819.80/x
  3. Step 3: Cross multiply
    120,845.80x = 181,268.70 × 92,819.80
  4. Step 4: Simplify right side
    120,845.80x = 16,825,324,480.26
  5. Step 5: Solve for x
    x = 16,825,324,480.26/120,845.80
  6. Step 6: Final answer
    x = 139,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.