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Finding the Fourth Proportional to 75,137.80, 112,721.72 and 27,753.16

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Solution

The fourth proportional to 75,137.80, 112,721.72 and 27,753.16 is: 41,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.80 : 112,721.72 = 27,753.16 : x
  2. Step 2: Convert to fraction form
    75,137.80/112,721.72 = 27,753.16/x
  3. Step 3: Cross multiply
    75,137.80x = 112,721.72 × 27,753.16
  4. Step 4: Simplify right side
    75,137.80x = 3,128,383,930.64
  5. Step 5: Solve for x
    x = 3,128,383,930.64/75,137.80
  6. Step 6: Final answer
    x = 41,635.29

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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.