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Finding the Fourth Proportional to 206,197.34, 309,074.88 and 135,093.11

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Solution

The fourth proportional to 206,197.34, 309,074.88 and 135,093.11 is: 202,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,197.34 : 309,074.88 = 135,093.11 : x
  2. Step 2: Convert to fraction form
    206,197.34/309,074.88 = 135,093.11/x
  3. Step 3: Cross multiply
    206,197.34x = 309,074.88 × 135,093.11
  4. Step 4: Simplify right side
    206,197.34x = 41,753,886,762.08
  5. Step 5: Solve for x
    x = 41,753,886,762.08/206,197.34
  6. Step 6: Final answer
    x = 202,494.79

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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.