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Finding the Fourth Proportional to 43,843.20, 65,721.60 and 21,638.40

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Solution

The fourth proportional to 43,843.20, 65,721.60 and 21,638.40 is: 32,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,843.20 : 65,721.60 = 21,638.40 : x
  2. Step 2: Convert to fraction form
    43,843.20/65,721.60 = 21,638.40/x
  3. Step 3: Cross multiply
    43,843.20x = 65,721.60 × 21,638.40
  4. Step 4: Simplify right side
    43,843.20x = 1,422,110,269.44
  5. Step 5: Solve for x
    x = 1,422,110,269.44/43,843.20
  6. Step 6: Final answer
    x = 32,436.28

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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.