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Finding the Fourth Proportional to 281,491.20, 422,129.88 and 91,906.56

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Solution

The fourth proportional to 281,491.20, 422,129.88 and 91,906.56 is: 137,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,491.20 : 422,129.88 = 91,906.56 : x
  2. Step 2: Convert to fraction form
    281,491.20/422,129.88 = 91,906.56/x
  3. Step 3: Cross multiply
    281,491.20x = 422,129.88 × 91,906.56
  4. Step 4: Simplify right side
    281,491.20x = 38,796,505,144.01
  5. Step 5: Solve for x
    x = 38,796,505,144.01/281,491.20
  6. Step 6: Final answer
    x = 137,824.93

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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.