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Finding the Fourth Proportional to 120,998.80, 166,982.16 and 67,286.08

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Solution

The fourth proportional to 120,998.80, 166,982.16 and 67,286.08 is: 92,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998.80 : 166,982.16 = 67,286.08 : x
  2. Step 2: Convert to fraction form
    120,998.80/166,982.16 = 67,286.08/x
  3. Step 3: Cross multiply
    120,998.80x = 166,982.16 × 67,286.08
  4. Step 4: Simplify right side
    120,998.80x = 11,235,574,976.33
  5. Step 5: Solve for x
    x = 11,235,574,976.33/120,998.80
  6. Step 6: Final answer
    x = 92,856.91

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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.