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Finding the Fourth Proportional to 206,213.72, 309,254.70 and 65,939

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Solution

The fourth proportional to 206,213.72, 309,254.70 and 65,939 is: 98,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,213.72 : 309,254.70 = 65,939 : x
  2. Step 2: Convert to fraction form
    206,213.72/309,254.70 = 65,939/x
  3. Step 3: Cross multiply
    206,213.72x = 309,254.70 × 65,939
  4. Step 4: Simplify right side
    206,213.72x = 20,391,945,663.30
  5. Step 5: Solve for x
    x = 20,391,945,663.30/206,213.72
  6. Step 6: Final answer
    x = 98,887.43

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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.