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Finding the Fourth Proportional to 120,991.62, 166,971.33 and 67,278.90

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Solution

The fourth proportional to 120,991.62, 166,971.33 and 67,278.90 is: 92,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,991.62 : 166,971.33 = 67,278.90 : x
  2. Step 2: Convert to fraction form
    120,991.62/166,971.33 = 67,278.90/x
  3. Step 3: Cross multiply
    120,991.62x = 166,971.33 × 67,278.90
  4. Step 4: Simplify right side
    120,991.62x = 11,233,647,413.94
  5. Step 5: Solve for x
    x = 11,233,647,413.94/120,991.62
  6. Step 6: Final answer
    x = 92,846.49

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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.