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Finding the Fourth Proportional to 217,109.98, 325,696.35 and 82,137.43

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Solution

The fourth proportional to 217,109.98, 325,696.35 and 82,137.43 is: 123,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,109.98 : 325,696.35 = 82,137.43 : x
  2. Step 2: Convert to fraction form
    217,109.98/325,696.35 = 82,137.43/x
  3. Step 3: Cross multiply
    217,109.98x = 325,696.35 × 82,137.43
  4. Step 4: Simplify right side
    217,109.98x = 26,751,861,149.38
  5. Step 5: Solve for x
    x = 26,751,861,149.38/217,109.98
  6. Step 6: Final answer
    x = 123,218.02

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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.