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Finding the Fourth Proportional to 150,676, 207,939.36 and 83,608

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Solution

The fourth proportional to 150,676, 207,939.36 and 83,608 is: 115,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,676 : 207,939.36 = 83,608 : x
  2. Step 2: Convert to fraction form
    150,676/207,939.36 = 83,608/x
  3. Step 3: Cross multiply
    150,676x = 207,939.36 × 83,608
  4. Step 4: Simplify right side
    150,676x = 17,385,394,010.88
  5. Step 5: Solve for x
    x = 17,385,394,010.88/150,676
  6. Step 6: Final answer
    x = 115,382.64

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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.