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Finding the Fourth Proportional to 222,078.97, 306,469.92 and 120,104.45

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Solution

The fourth proportional to 222,078.97, 306,469.92 and 120,104.45 is: 165,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,078.97 : 306,469.92 = 120,104.45 : x
  2. Step 2: Convert to fraction form
    222,078.97/306,469.92 = 120,104.45/x
  3. Step 3: Cross multiply
    222,078.97x = 306,469.92 × 120,104.45
  4. Step 4: Simplify right side
    222,078.97x = 36,808,399,544.02
  5. Step 5: Solve for x
    x = 36,808,399,544.02/222,078.97
  6. Step 6: Final answer
    x = 165,744.65

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1.5x scale

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.