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Finding the Fourth Proportional to 120,588.66, 166,469.49 and 80,369.46

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Solution

The fourth proportional to 120,588.66, 166,469.49 and 80,369.46 is: 110,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,588.66 : 166,469.49 = 80,369.46 : x
  2. Step 2: Convert to fraction form
    120,588.66/166,469.49 = 80,369.46/x
  3. Step 3: Cross multiply
    120,588.66x = 166,469.49 × 80,369.46
  4. Step 4: Simplify right side
    120,588.66x = 13,379,063,017.78
  5. Step 5: Solve for x
    x = 13,379,063,017.78/120,588.66
  6. Step 6: Final answer
    x = 110,947.94

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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.