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Finding the Fourth Proportional to 206,630.44, 309,945.67 and 81,971.44

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Solution

The fourth proportional to 206,630.44, 309,945.67 and 81,971.44 is: 122,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,630.44 : 309,945.67 = 81,971.44 : x
  2. Step 2: Convert to fraction form
    206,630.44/309,945.67 = 81,971.44/x
  3. Step 3: Cross multiply
    206,630.44x = 309,945.67 × 81,971.44
  4. Step 4: Simplify right side
    206,630.44x = 25,406,691,911.87
  5. Step 5: Solve for x
    x = 25,406,691,911.87/206,630.44
  6. Step 6: Final answer
    x = 122,957.16

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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.