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Finding the Fourth Proportional to 150,285, 207,408.42 and 83,217

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Solution

The fourth proportional to 150,285, 207,408.42 and 83,217 is: 114,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,285 : 207,408.42 = 83,217 : x
  2. Step 2: Convert to fraction form
    150,285/207,408.42 = 83,217/x
  3. Step 3: Cross multiply
    150,285x = 207,408.42 × 83,217
  4. Step 4: Simplify right side
    150,285x = 17,259,906,487.14
  5. Step 5: Solve for x
    x = 17,259,906,487.14/150,285
  6. Step 6: Final answer
    x = 114,847.83

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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.