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Finding the Fourth Proportional to 206,367.69, 309,454.92 and 73,245

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Solution

The fourth proportional to 206,367.69, 309,454.92 and 73,245 is: 109,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,367.69 : 309,454.92 = 73,245 : x
  2. Step 2: Convert to fraction form
    206,367.69/309,454.92 = 73,245/x
  3. Step 3: Cross multiply
    206,367.69x = 309,454.92 × 73,245
  4. Step 4: Simplify right side
    206,367.69x = 22,666,025,615.40
  5. Step 5: Solve for x
    x = 22,666,025,615.40/206,367.69
  6. Step 6: Final answer
    x = 109,833.21

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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.