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Finding the Fourth Proportional to 206,135.44, 309,198.76 and 56,375.73

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Solution

The fourth proportional to 206,135.44, 309,198.76 and 56,375.73 is: 84,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,135.44 : 309,198.76 = 56,375.73 : x
  2. Step 2: Convert to fraction form
    206,135.44/309,198.76 = 56,375.73/x
  3. Step 3: Cross multiply
    206,135.44x = 309,198.76 × 56,375.73
  4. Step 4: Simplify right side
    206,135.44x = 17,431,306,855.89
  5. Step 5: Solve for x
    x = 17,431,306,855.89/206,135.44
  6. Step 6: Final answer
    x = 84,562.40

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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.