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Finding the Fourth Proportional to 206,218.56, 309,354 and 73,072.80

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Solution

The fourth proportional to 206,218.56, 309,354 and 73,072.80 is: 109,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,218.56 : 309,354 = 73,072.80 : x
  2. Step 2: Convert to fraction form
    206,218.56/309,354 = 73,072.80/x
  3. Step 3: Cross multiply
    206,218.56x = 309,354 × 73,072.80
  4. Step 4: Simplify right side
    206,218.56x = 22,605,362,971.20
  5. Step 5: Solve for x
    x = 22,605,362,971.20/206,218.56
  6. Step 6: Final answer
    x = 109,618.47

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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.