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Finding the Fourth Proportional to 222,351.25, 306,842.60 and 120,374.10

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Solution

The fourth proportional to 222,351.25, 306,842.60 and 120,374.10 is: 166,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,351.25 : 306,842.60 = 120,374.10 : x
  2. Step 2: Convert to fraction form
    222,351.25/306,842.60 = 120,374.10/x
  3. Step 3: Cross multiply
    222,351.25x = 306,842.60 × 120,374.10
  4. Step 4: Simplify right side
    222,351.25x = 36,935,900,447.68
  5. Step 5: Solve for x
    x = 36,935,900,447.68/222,351.25
  6. Step 6: Final answer
    x = 166,115.10

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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.