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Finding the Fourth Proportional to 69,353.82, 104,046.35 and 21,971.78

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Solution

The fourth proportional to 69,353.82, 104,046.35 and 21,971.78 is: 32,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,353.82 : 104,046.35 = 21,971.78 : x
  2. Step 2: Convert to fraction form
    69,353.82/104,046.35 = 21,971.78/x
  3. Step 3: Cross multiply
    69,353.82x = 104,046.35 × 21,971.78
  4. Step 4: Simplify right side
    69,353.82x = 2,286,083,512.00
  5. Step 5: Solve for x
    x = 2,286,083,512.00/69,353.82
  6. Step 6: Final answer
    x = 32,962.62

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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.