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Finding the Fourth Proportional to 222,168.80, 306,591.72 and 120,194

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Solution

The fourth proportional to 222,168.80, 306,591.72 and 120,194 is: 165,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,168.80 : 306,591.72 = 120,194 : x
  2. Step 2: Convert to fraction form
    222,168.80/306,591.72 = 120,194/x
  3. Step 3: Cross multiply
    222,168.80x = 306,591.72 × 120,194
  4. Step 4: Simplify right side
    222,168.80x = 36,850,485,193.68
  5. Step 5: Solve for x
    x = 36,850,485,193.68/222,168.80
  6. Step 6: Final answer
    x = 165,867.06

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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.