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Finding the Fourth Proportional to 69,412, 104,120.88 and 20,164

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Solution

The fourth proportional to 69,412, 104,120.88 and 20,164 is: 30,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,412 : 104,120.88 = 20,164 : x
  2. Step 2: Convert to fraction form
    69,412/104,120.88 = 20,164/x
  3. Step 3: Cross multiply
    69,412x = 104,120.88 × 20,164
  4. Step 4: Simplify right side
    69,412x = 2,099,493,424.32
  5. Step 5: Solve for x
    x = 2,099,493,424.32/69,412
  6. Step 6: Final answer
    x = 30,246.84

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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.