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Finding the Fourth Proportional to 54,542.60, 81,713.10 and 31,099.40

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Solution

The fourth proportional to 54,542.60, 81,713.10 and 31,099.40 is: 46,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,542.60 : 81,713.10 = 31,099.40 : x
  2. Step 2: Convert to fraction form
    54,542.60/81,713.10 = 31,099.40/x
  3. Step 3: Cross multiply
    54,542.60x = 81,713.10 × 31,099.40
  4. Step 4: Simplify right side
    54,542.60x = 2,541,228,382.14
  5. Step 5: Solve for x
    x = 2,541,228,382.14/54,542.60
  6. Step 6: Final answer
    x = 46,591.63

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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.