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Finding the Fourth Proportional to 222,357.75, 306,853.78 and 120,383.20

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Solution

The fourth proportional to 222,357.75, 306,853.78 and 120,383.20 is: 166,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,357.75 : 306,853.78 = 120,383.20 : x
  2. Step 2: Convert to fraction form
    222,357.75/306,853.78 = 120,383.20/x
  3. Step 3: Cross multiply
    222,357.75x = 306,853.78 × 120,383.20
  4. Step 4: Simplify right side
    222,357.75x = 36,940,039,968.50
  5. Step 5: Solve for x
    x = 36,940,039,968.50/222,357.75
  6. Step 6: Final answer
    x = 166,128.86

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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.