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Finding the Fourth Proportional to 54,190.64, 74,786.64 and 30,321.44

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Solution

The fourth proportional to 54,190.64, 74,786.64 and 30,321.44 is: 41,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190.64 : 74,786.64 = 30,321.44 : x
  2. Step 2: Convert to fraction form
    54,190.64/74,786.64 = 30,321.44/x
  3. Step 3: Cross multiply
    54,190.64x = 74,786.64 × 30,321.44
  4. Step 4: Simplify right side
    54,190.64x = 2,267,638,617.56
  5. Step 5: Solve for x
    x = 2,267,638,617.56/54,190.64
  6. Step 6: Final answer
    x = 41,845.58

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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.