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Finding the Fourth Proportional to 206,179.92, 309,182.40 and 73,093.68

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Solution

The fourth proportional to 206,179.92, 309,182.40 and 73,093.68 is: 109,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,179.92 : 309,182.40 = 73,093.68 : x
  2. Step 2: Convert to fraction form
    206,179.92/309,182.40 = 73,093.68/x
  3. Step 3: Cross multiply
    206,179.92x = 309,182.40 × 73,093.68
  4. Step 4: Simplify right side
    206,179.92x = 22,599,279,407.23
  5. Step 5: Solve for x
    x = 22,599,279,407.23/206,179.92
  6. Step 6: Final answer
    x = 109,609.51

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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.