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Finding the Fourth Proportional to 69,464, 104,198.88 and 20,216

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Solution

The fourth proportional to 69,464, 104,198.88 and 20,216 is: 30,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,464 : 104,198.88 = 20,216 : x
  2. Step 2: Convert to fraction form
    69,464/104,198.88 = 20,216/x
  3. Step 3: Cross multiply
    69,464x = 104,198.88 × 20,216
  4. Step 4: Simplify right side
    69,464x = 2,106,484,558.08
  5. Step 5: Solve for x
    x = 2,106,484,558.08/69,464
  6. Step 6: Final answer
    x = 30,324.84

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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.