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Finding the Fourth Proportional to 206,078, 309,003.30 and 63,883.88

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Solution

The fourth proportional to 206,078, 309,003.30 and 63,883.88 is: 95,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,078 : 309,003.30 = 63,883.88 : x
  2. Step 2: Convert to fraction form
    206,078/309,003.30 = 63,883.88/x
  3. Step 3: Cross multiply
    206,078x = 309,003.30 × 63,883.88
  4. Step 4: Simplify right side
    206,078x = 19,740,329,736.80
  5. Step 5: Solve for x
    x = 19,740,329,736.80/206,078
  6. Step 6: Final answer
    x = 95,790.57

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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.