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Finding the Fourth Proportional to 67,584.78, 101,377.14 and 18,336.78

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Solution

The fourth proportional to 67,584.78, 101,377.14 and 18,336.78 is: 27,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,584.78 : 101,377.14 = 18,336.78 : x
  2. Step 2: Convert to fraction form
    67,584.78/101,377.14 = 18,336.78/x
  3. Step 3: Cross multiply
    67,584.78x = 101,377.14 × 18,336.78
  4. Step 4: Simplify right side
    67,584.78x = 1,858,930,313.21
  5. Step 5: Solve for x
    x = 1,858,930,313.21/67,584.78
  6. Step 6: Final answer
    x = 27,505.16

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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.