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Finding the Fourth Proportional to 45,221.12, 67,843.84 and 18,912

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Solution

The fourth proportional to 45,221.12, 67,843.84 and 18,912 is: 28,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,221.12 : 67,843.84 = 18,912 : x
  2. Step 2: Convert to fraction form
    45,221.12/67,843.84 = 18,912/x
  3. Step 3: Cross multiply
    45,221.12x = 67,843.84 × 18,912
  4. Step 4: Simplify right side
    45,221.12x = 1,283,062,702.08
  5. Step 5: Solve for x
    x = 1,283,062,702.08/45,221.12
  6. Step 6: Final answer
    x = 28,373.09

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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.