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Finding the Fourth Proportional to 222,252.92, 306,708.48 and 120,278

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Solution

The fourth proportional to 222,252.92, 306,708.48 and 120,278 is: 165,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,252.92 : 306,708.48 = 120,278 : x
  2. Step 2: Convert to fraction form
    222,252.92/306,708.48 = 120,278/x
  3. Step 3: Cross multiply
    222,252.92x = 306,708.48 × 120,278
  4. Step 4: Simplify right side
    222,252.92x = 36,890,282,557.44
  5. Step 5: Solve for x
    x = 36,890,282,557.44/222,252.92
  6. Step 6: Final answer
    x = 165,983.34

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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.