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Finding the Fourth Proportional to 69,446, 104,186.64 and 20,198

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Solution

The fourth proportional to 69,446, 104,186.64 and 20,198 is: 30,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,446 : 104,186.64 = 20,198 : x
  2. Step 2: Convert to fraction form
    69,446/104,186.64 = 20,198/x
  3. Step 3: Cross multiply
    69,446x = 104,186.64 × 20,198
  4. Step 4: Simplify right side
    69,446x = 2,104,361,754.72
  5. Step 5: Solve for x
    x = 2,104,361,754.72/69,446
  6. Step 6: Final answer
    x = 30,302.13

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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.