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Finding the Fourth Proportional to 193,825.20, 290,747.40 and 100,513.20

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Solution

The fourth proportional to 193,825.20, 290,747.40 and 100,513.20 is: 150,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,825.20 : 290,747.40 = 100,513.20 : x
  2. Step 2: Convert to fraction form
    193,825.20/290,747.40 = 100,513.20/x
  3. Step 3: Cross multiply
    193,825.20x = 290,747.40 × 100,513.20
  4. Step 4: Simplify right side
    193,825.20x = 29,223,951,565.68
  5. Step 5: Solve for x
    x = 29,223,951,565.68/193,825.20
  6. Step 6: Final answer
    x = 150,774.78

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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.