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Finding the Fourth Proportional to 206,181.36, 308,747.03 and 135,847.44

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Solution

The fourth proportional to 206,181.36, 308,747.03 and 135,847.44 is: 203,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,181.36 : 308,747.03 = 135,847.44 : x
  2. Step 2: Convert to fraction form
    206,181.36/308,747.03 = 135,847.44/x
  3. Step 3: Cross multiply
    206,181.36x = 308,747.03 × 135,847.44
  4. Step 4: Simplify right side
    206,181.36x = 41,942,492,953.87
  5. Step 5: Solve for x
    x = 41,942,492,953.87/206,181.36
  6. Step 6: Final answer
    x = 203,425.24

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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.