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Finding the Fourth Proportional to 193,874.91, 290,905.31 and 100,380.66

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Solution

The fourth proportional to 193,874.91, 290,905.31 and 100,380.66 is: 150,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,874.91 : 290,905.31 = 100,380.66 : x
  2. Step 2: Convert to fraction form
    193,874.91/290,905.31 = 100,380.66/x
  3. Step 3: Cross multiply
    193,874.91x = 290,905.31 × 100,380.66
  4. Step 4: Simplify right side
    193,874.91x = 29,201,267,015.30
  5. Step 5: Solve for x
    x = 29,201,267,015.30/193,874.91
  6. Step 6: Final answer
    x = 150,619.11

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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.