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Finding the Fourth Proportional to 206,347.25, 309,481.52 and 64,194.29

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Solution

The fourth proportional to 206,347.25, 309,481.52 and 64,194.29 is: 96,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.25 : 309,481.52 = 64,194.29 : x
  2. Step 2: Convert to fraction form
    206,347.25/309,481.52 = 64,194.29/x
  3. Step 3: Cross multiply
    206,347.25x = 309,481.52 × 64,194.29
  4. Step 4: Simplify right side
    206,347.25x = 19,866,944,576.14
  5. Step 5: Solve for x
    x = 19,866,944,576.14/206,347.25
  6. Step 6: Final answer
    x = 96,279.19

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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.