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Finding the Fourth Proportional to 206,519.82, 309,745.71 and 66,260.22

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Solution

The fourth proportional to 206,519.82, 309,745.71 and 66,260.22 is: 99,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,519.82 : 309,745.71 = 66,260.22 : x
  2. Step 2: Convert to fraction form
    206,519.82/309,745.71 = 66,260.22/x
  3. Step 3: Cross multiply
    206,519.82x = 309,745.71 × 66,260.22
  4. Step 4: Simplify right side
    206,519.82x = 20,523,818,888.66
  5. Step 5: Solve for x
    x = 20,523,818,888.66/206,519.82
  6. Step 6: Final answer
    x = 99,379.41

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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.