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Finding the Fourth Proportional to 69,188, 103,782 and 22,440.88

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Solution

The fourth proportional to 69,188, 103,782 and 22,440.88 is: 33,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,188 : 103,782 = 22,440.88 : x
  2. Step 2: Convert to fraction form
    69,188/103,782 = 22,440.88/x
  3. Step 3: Cross multiply
    69,188x = 103,782 × 22,440.88
  4. Step 4: Simplify right side
    69,188x = 2,328,958,889.25
  5. Step 5: Solve for x
    x = 2,328,958,889.25/69,188
  6. Step 6: Final answer
    x = 33,661.31

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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.