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Finding the Fourth Proportional to 71,654.48, 107,481.97 and 21,735

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Solution

The fourth proportional to 71,654.48, 107,481.97 and 21,735 is: 32,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.48 : 107,481.97 = 21,735 : x
  2. Step 2: Convert to fraction form
    71,654.48/107,481.97 = 21,735/x
  3. Step 3: Cross multiply
    71,654.48x = 107,481.97 × 21,735
  4. Step 4: Simplify right side
    71,654.48x = 2,336,120,617.95
  5. Step 5: Solve for x
    x = 2,336,120,617.95/71,654.48
  6. Step 6: Final answer
    x = 32,602.58

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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.