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Finding the Fourth Proportional to 120,422.46, 166,183.01 and 65,974.87

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Solution

The fourth proportional to 120,422.46, 166,183.01 and 65,974.87 is: 91,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,422.46 : 166,183.01 = 65,974.87 : x
  2. Step 2: Convert to fraction form
    120,422.46/166,183.01 = 65,974.87/x
  3. Step 3: Cross multiply
    120,422.46x = 166,183.01 × 65,974.87
  4. Step 4: Simplify right side
    120,422.46x = 10,963,902,480.96
  5. Step 5: Solve for x
    x = 10,963,902,480.96/120,422.46
  6. Step 6: Final answer
    x = 91,045.33

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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.