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Finding the Fourth Proportional to 222,169.80, 306,593.10 and 120,195

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Solution

The fourth proportional to 222,169.80, 306,593.10 and 120,195 is: 165,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,169.80 : 306,593.10 = 120,195 : x
  2. Step 2: Convert to fraction form
    222,169.80/306,593.10 = 120,195/x
  3. Step 3: Cross multiply
    222,169.80x = 306,593.10 × 120,195
  4. Step 4: Simplify right side
    222,169.80x = 36,850,957,654.50
  5. Step 5: Solve for x
    x = 36,850,957,654.50/222,169.80
  6. Step 6: Final answer
    x = 165,868.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.