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Finding the Fourth Proportional to 206,297.22, 309,371.97 and 111,597.42

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Solution

The fourth proportional to 206,297.22, 309,371.97 and 111,597.42 is: 167,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,297.22 : 309,371.97 = 111,597.42 : x
  2. Step 2: Convert to fraction form
    206,297.22/309,371.97 = 111,597.42/x
  3. Step 3: Cross multiply
    206,297.22x = 309,371.97 × 111,597.42
  4. Step 4: Simplify right side
    206,297.22x = 34,525,113,672.32
  5. Step 5: Solve for x
    x = 34,525,113,672.32/206,297.22
  6. Step 6: Final answer
    x = 167,356.18

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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.