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Finding the Fourth Proportional to 120,722.70, 181,229.85 and 119,847.90

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Solution

The fourth proportional to 120,722.70, 181,229.85 and 119,847.90 is: 179,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,722.70 : 181,229.85 = 119,847.90 : x
  2. Step 2: Convert to fraction form
    120,722.70/181,229.85 = 119,847.90/x
  3. Step 3: Cross multiply
    120,722.70x = 181,229.85 × 119,847.90
  4. Step 4: Simplify right side
    120,722.70x = 21,720,016,939.82
  5. Step 5: Solve for x
    x = 21,720,016,939.82/120,722.70
  6. Step 6: Final answer
    x = 179,916.59

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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.