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Finding the Fourth Proportional to 54,811.80, 82,217.70 and 43,658.10

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Solution

The fourth proportional to 54,811.80, 82,217.70 and 43,658.10 is: 65,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.80 : 82,217.70 = 43,658.10 : x
  2. Step 2: Convert to fraction form
    54,811.80/82,217.70 = 43,658.10/x
  3. Step 3: Cross multiply
    54,811.80x = 82,217.70 × 43,658.10
  4. Step 4: Simplify right side
    54,811.80x = 3,589,468,568.37
  5. Step 5: Solve for x
    x = 3,589,468,568.37/54,811.80
  6. Step 6: Final answer
    x = 65,487.15

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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.