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Finding the Fourth Proportional to 217,110.98, 325,697.85 and 82,138.43

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Solution

The fourth proportional to 217,110.98, 325,697.85 and 82,138.43 is: 123,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,110.98 : 325,697.85 = 82,138.43 : x
  2. Step 2: Convert to fraction form
    217,110.98/325,697.85 = 82,138.43/x
  3. Step 3: Cross multiply
    217,110.98x = 325,697.85 × 82,138.43
  4. Step 4: Simplify right side
    217,110.98x = 26,752,310,053.38
  5. Step 5: Solve for x
    x = 26,752,310,053.38/217,110.98
  6. Step 6: Final answer
    x = 123,219.52

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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.