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Finding the Fourth Proportional to 43,531.32, 65,241.90 and 21,339.48

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Solution

The fourth proportional to 43,531.32, 65,241.90 and 21,339.48 is: 31,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,531.32 : 65,241.90 = 21,339.48 : x
  2. Step 2: Convert to fraction form
    43,531.32/65,241.90 = 21,339.48/x
  3. Step 3: Cross multiply
    43,531.32x = 65,241.90 × 21,339.48
  4. Step 4: Simplify right side
    43,531.32x = 1,392,228,220.21
  5. Step 5: Solve for x
    x = 1,392,228,220.21/43,531.32
  6. Step 6: Final answer
    x = 31,982.22

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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.