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Finding the Fourth Proportional to 69,442, 104,180.64 and 20,194

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Solution

The fourth proportional to 69,442, 104,180.64 and 20,194 is: 30,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,442 : 104,180.64 = 20,194 : x
  2. Step 2: Convert to fraction form
    69,442/104,180.64 = 20,194/x
  3. Step 3: Cross multiply
    69,442x = 104,180.64 × 20,194
  4. Step 4: Simplify right side
    69,442x = 2,103,823,844.16
  5. Step 5: Solve for x
    x = 2,103,823,844.16/69,442
  6. Step 6: Final answer
    x = 30,296.13

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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.