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Finding the Fourth Proportional to 281,358.44, 422,104.79 and 91,819.16

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Solution

The fourth proportional to 281,358.44, 422,104.79 and 91,819.16 is: 137,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,358.44 : 422,104.79 = 91,819.16 : x
  2. Step 2: Convert to fraction form
    281,358.44/422,104.79 = 91,819.16/x
  3. Step 3: Cross multiply
    281,358.44x = 422,104.79 × 91,819.16
  4. Step 4: Simplify right side
    281,358.44x = 38,757,307,249.78
  5. Step 5: Solve for x
    x = 38,757,307,249.78/281,358.44
  6. Step 6: Final answer
    x = 137,750.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.