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Finding the Fourth Proportional to 54,797.50, 75,620.55 and 29,647

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Solution

The fourth proportional to 54,797.50, 75,620.55 and 29,647 is: 40,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,797.50 : 75,620.55 = 29,647 : x
  2. Step 2: Convert to fraction form
    54,797.50/75,620.55 = 29,647/x
  3. Step 3: Cross multiply
    54,797.50x = 75,620.55 × 29,647
  4. Step 4: Simplify right side
    54,797.50x = 2,241,922,445.85
  5. Step 5: Solve for x
    x = 2,241,922,445.85/54,797.50
  6. Step 6: Final answer
    x = 40,912.86

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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.