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Finding the Fourth Proportional to 100,540.31, 150,832.15 and 33,978.96

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Solution

The fourth proportional to 100,540.31, 150,832.15 and 33,978.96 is: 50,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540.31 : 150,832.15 = 33,978.96 : x
  2. Step 2: Convert to fraction form
    100,540.31/150,832.15 = 33,978.96/x
  3. Step 3: Cross multiply
    100,540.31x = 150,832.15 × 33,978.96
  4. Step 4: Simplify right side
    100,540.31x = 5,125,119,506.62
  5. Step 5: Solve for x
    x = 5,125,119,506.62/100,540.31
  6. Step 6: Final answer
    x = 50,975.77

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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.