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Finding the Fourth Proportional to 206,137.92, 309,010.03 and 65,805.42

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Solution

The fourth proportional to 206,137.92, 309,010.03 and 65,805.42 is: 98,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,137.92 : 309,010.03 = 65,805.42 : x
  2. Step 2: Convert to fraction form
    206,137.92/309,010.03 = 65,805.42/x
  3. Step 3: Cross multiply
    206,137.92x = 309,010.03 × 65,805.42
  4. Step 4: Simplify right side
    206,137.92x = 20,334,534,808.36
  5. Step 5: Solve for x
    x = 20,334,534,808.36/206,137.92
  6. Step 6: Final answer
    x = 98,645.29

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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.