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Finding the Fourth Proportional to 206,391.09, 309,615.34 and 73,239.69

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Solution

The fourth proportional to 206,391.09, 309,615.34 and 73,239.69 is: 109,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.09 : 309,615.34 = 73,239.69 : x
  2. Step 2: Convert to fraction form
    206,391.09/309,615.34 = 73,239.69/x
  3. Step 3: Cross multiply
    206,391.09x = 309,615.34 × 73,239.69
  4. Step 4: Simplify right side
    206,391.09x = 22,676,132,430.14
  5. Step 5: Solve for x
    x = 22,676,132,430.14/206,391.09
  6. Step 6: Final answer
    x = 109,869.73

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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.