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Finding the Fourth Proportional to 150,764.54, 208,040.31 and 87,100.97

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Solution

The fourth proportional to 150,764.54, 208,040.31 and 87,100.97 is: 120,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,764.54 : 208,040.31 = 87,100.97 : x
  2. Step 2: Convert to fraction form
    150,764.54/208,040.31 = 87,100.97/x
  3. Step 3: Cross multiply
    150,764.54x = 208,040.31 × 87,100.97
  4. Step 4: Simplify right side
    150,764.54x = 18,120,511,759.90
  5. Step 5: Solve for x
    x = 18,120,511,759.90/150,764.54
  6. Step 6: Final answer
    x = 120,190.81

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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.