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Finding the Fourth Proportional to 222,372.87, 306,874.74 and 120,398.40

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Solution

The fourth proportional to 222,372.87, 306,874.74 and 120,398.40 is: 166,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,372.87 : 306,874.74 = 120,398.40 : x
  2. Step 2: Convert to fraction form
    222,372.87/306,874.74 = 120,398.40/x
  3. Step 3: Cross multiply
    222,372.87x = 306,874.74 × 120,398.40
  4. Step 4: Simplify right side
    222,372.87x = 36,947,227,696.42
  5. Step 5: Solve for x
    x = 36,947,227,696.42/222,372.87
  6. Step 6: Final answer
    x = 166,149.89

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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.