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Finding the Fourth Proportional to 89,474.64, 123,474.96 and 49,191

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Solution

The fourth proportional to 89,474.64, 123,474.96 and 49,191 is: 67,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,474.64 : 123,474.96 = 49,191 : x
  2. Step 2: Convert to fraction form
    89,474.64/123,474.96 = 49,191/x
  3. Step 3: Cross multiply
    89,474.64x = 123,474.96 × 49,191
  4. Step 4: Simplify right side
    89,474.64x = 6,073,856,757.36
  5. Step 5: Solve for x
    x = 6,073,856,757.36/89,474.64
  6. Step 6: Final answer
    x = 67,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.