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Finding the Fourth Proportional to 69,467, 104,203.38 and 20,219

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Solution

The fourth proportional to 69,467, 104,203.38 and 20,219 is: 30,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,467 : 104,203.38 = 20,219 : x
  2. Step 2: Convert to fraction form
    69,467/104,203.38 = 20,219/x
  3. Step 3: Cross multiply
    69,467x = 104,203.38 × 20,219
  4. Step 4: Simplify right side
    69,467x = 2,106,888,140.22
  5. Step 5: Solve for x
    x = 2,106,888,140.22/69,467
  6. Step 6: Final answer
    x = 30,329.34

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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.