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Finding the Fourth Proportional to 206,036.34, 309,169.34 and 111,264.53

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Solution

The fourth proportional to 206,036.34, 309,169.34 and 111,264.53 is: 166,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,036.34 : 309,169.34 = 111,264.53 : x
  2. Step 2: Convert to fraction form
    206,036.34/309,169.34 = 111,264.53/x
  3. Step 3: Cross multiply
    206,036.34x = 309,169.34 × 111,264.53
  4. Step 4: Simplify right side
    206,036.34x = 34,399,579,203.34
  5. Step 5: Solve for x
    x = 34,399,579,203.34/206,036.34
  6. Step 6: Final answer
    x = 166,958.80

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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.