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Finding the Fourth Proportional to 206,540.98, 309,741.30 and 71,573.56

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Solution

The fourth proportional to 206,540.98, 309,741.30 and 71,573.56 is: 107,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,540.98 : 309,741.30 = 71,573.56 : x
  2. Step 2: Convert to fraction form
    206,540.98/309,741.30 = 71,573.56/x
  3. Step 3: Cross multiply
    206,540.98x = 309,741.30 × 71,573.56
  4. Step 4: Simplify right side
    206,540.98x = 22,169,287,520.03
  5. Step 5: Solve for x
    x = 22,169,287,520.03/206,540.98
  6. Step 6: Final answer
    x = 107,336.02

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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.