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Finding the Fourth Proportional to 69,178.62, 103,782.54 and 22,427.88

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Solution

The fourth proportional to 69,178.62, 103,782.54 and 22,427.88 is: 33,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,178.62 : 103,782.54 = 22,427.88 : x
  2. Step 2: Convert to fraction form
    69,178.62/103,782.54 = 22,427.88/x
  3. Step 3: Cross multiply
    69,178.62x = 103,782.54 × 22,427.88
  4. Step 4: Simplify right side
    69,178.62x = 2,327,622,353.22
  5. Step 5: Solve for x
    x = 2,327,622,353.22/69,178.62
  6. Step 6: Final answer
    x = 33,646.56

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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.