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Finding the Fourth Proportional to 135,994.31, 203,991.20 and 36,154.48

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Solution

The fourth proportional to 135,994.31, 203,991.20 and 36,154.48 is: 54,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,994.31 : 203,991.20 = 36,154.48 : x
  2. Step 2: Convert to fraction form
    135,994.31/203,991.20 = 36,154.48/x
  3. Step 3: Cross multiply
    135,994.31x = 203,991.20 × 36,154.48
  4. Step 4: Simplify right side
    135,994.31x = 7,375,195,760.58
  5. Step 5: Solve for x
    x = 7,375,195,760.58/135,994.31
  6. Step 6: Final answer
    x = 54,231.65

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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.