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Finding the Fourth Proportional to 100,481.22, 150,725.07 and 30,361.14

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Solution

The fourth proportional to 100,481.22, 150,725.07 and 30,361.14 is: 45,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,481.22 : 150,725.07 = 30,361.14 : x
  2. Step 2: Convert to fraction form
    100,481.22/150,725.07 = 30,361.14/x
  3. Step 3: Cross multiply
    100,481.22x = 150,725.07 × 30,361.14
  4. Step 4: Simplify right side
    100,481.22x = 4,576,184,951.78
  5. Step 5: Solve for x
    x = 4,576,184,951.78/100,481.22
  6. Step 6: Final answer
    x = 45,542.69

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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.