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Finding the Fourth Proportional to 206,519.41, 309,797.57 and 64,365.90

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Solution

The fourth proportional to 206,519.41, 309,797.57 and 64,365.90 is: 96,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,519.41 : 309,797.57 = 64,365.90 : x
  2. Step 2: Convert to fraction form
    206,519.41/309,797.57 = 64,365.90/x
  3. Step 3: Cross multiply
    206,519.41x = 309,797.57 × 64,365.90
  4. Step 4: Simplify right side
    206,519.41x = 19,940,398,410.04
  5. Step 5: Solve for x
    x = 19,940,398,410.04/206,519.41
  6. Step 6: Final answer
    x = 96,554.60

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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.