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Finding the Fourth Proportional to 65,397.78, 90,186.21 and 41,481.90

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Solution

The fourth proportional to 65,397.78, 90,186.21 and 41,481.90 is: 57,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,397.78 : 90,186.21 = 41,481.90 : x
  2. Step 2: Convert to fraction form
    65,397.78/90,186.21 = 41,481.90/x
  3. Step 3: Cross multiply
    65,397.78x = 90,186.21 × 41,481.90
  4. Step 4: Simplify right side
    65,397.78x = 3,741,095,344.60
  5. Step 5: Solve for x
    x = 3,741,095,344.60/65,397.78
  6. Step 6: Final answer
    x = 57,205.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.