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Finding the Fourth Proportional to 69,463, 104,211.78 and 20,215

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Solution

The fourth proportional to 69,463, 104,211.78 and 20,215 is: 30,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,463 : 104,211.78 = 20,215 : x
  2. Step 2: Convert to fraction form
    69,463/104,211.78 = 20,215/x
  3. Step 3: Cross multiply
    69,463x = 104,211.78 × 20,215
  4. Step 4: Simplify right side
    69,463x = 2,106,641,132.70
  5. Step 5: Solve for x
    x = 2,106,641,132.70/69,463
  6. Step 6: Final answer
    x = 30,327.53

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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.