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Finding the Fourth Proportional to 89,761.12, 134,642 and 27,431.36

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Solution

The fourth proportional to 89,761.12, 134,642 and 27,431.36 is: 41,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,761.12 : 134,642 = 27,431.36 : x
  2. Step 2: Convert to fraction form
    89,761.12/134,642 = 27,431.36/x
  3. Step 3: Cross multiply
    89,761.12x = 134,642 × 27,431.36
  4. Step 4: Simplify right side
    89,761.12x = 3,693,413,173.12
  5. Step 5: Solve for x
    x = 3,693,413,173.12/89,761.12
  6. Step 6: Final answer
    x = 41,147.14

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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.