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Finding the Fourth Proportional to 54,171.88, 81,286.98 and 54,007

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Solution

The fourth proportional to 54,171.88, 81,286.98 and 54,007 is: 81,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,171.88 : 81,286.98 = 54,007 : x
  2. Step 2: Convert to fraction form
    54,171.88/81,286.98 = 54,007/x
  3. Step 3: Cross multiply
    54,171.88x = 81,286.98 × 54,007
  4. Step 4: Simplify right side
    54,171.88x = 4,390,065,928.86
  5. Step 5: Solve for x
    x = 4,390,065,928.86/54,171.88
  6. Step 6: Final answer
    x = 81,039.57

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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.