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Finding the Fourth Proportional to 72,083.52, 108,086.40 and 27,721.44

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Solution

The fourth proportional to 72,083.52, 108,086.40 and 27,721.44 is: 41,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,083.52 : 108,086.40 = 27,721.44 : x
  2. Step 2: Convert to fraction form
    72,083.52/108,086.40 = 27,721.44/x
  3. Step 3: Cross multiply
    72,083.52x = 108,086.40 × 27,721.44
  4. Step 4: Simplify right side
    72,083.52x = 2,996,310,652.42
  5. Step 5: Solve for x
    x = 2,996,310,652.42/72,083.52
  6. Step 6: Final answer
    x = 41,567.21

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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.