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Finding the Fourth Proportional to 120,993.68, 166,971.48 and 67,278.14

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Solution

The fourth proportional to 120,993.68, 166,971.48 and 67,278.14 is: 92,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.68 : 166,971.48 = 67,278.14 : x
  2. Step 2: Convert to fraction form
    120,993.68/166,971.48 = 67,278.14/x
  3. Step 3: Cross multiply
    120,993.68x = 166,971.48 × 67,278.14
  4. Step 4: Simplify right side
    120,993.68x = 11,233,530,607.45
  5. Step 5: Solve for x
    x = 11,233,530,607.45/120,993.68
  6. Step 6: Final answer
    x = 92,843.95

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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.