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Finding the Fourth Proportional to 120,808.80, 166,737.87 and 69,814.49

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Solution

The fourth proportional to 120,808.80, 166,737.87 and 69,814.49 is: 96,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,808.80 : 166,737.87 = 69,814.49 : x
  2. Step 2: Convert to fraction form
    120,808.80/166,737.87 = 69,814.49/x
  3. Step 3: Cross multiply
    120,808.80x = 166,737.87 × 69,814.49
  4. Step 4: Simplify right side
    120,808.80x = 11,640,718,524.05
  5. Step 5: Solve for x
    x = 11,640,718,524.05/120,808.80
  6. Step 6: Final answer
    x = 96,356.54

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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.