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Finding the Fourth Proportional to 65,269.44, 90,009.12 and 41,400

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Solution

The fourth proportional to 65,269.44, 90,009.12 and 41,400 is: 57,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,269.44 : 90,009.12 = 41,400 : x
  2. Step 2: Convert to fraction form
    65,269.44/90,009.12 = 41,400/x
  3. Step 3: Cross multiply
    65,269.44x = 90,009.12 × 41,400
  4. Step 4: Simplify right side
    65,269.44x = 3,726,377,568
  5. Step 5: Solve for x
    x = 3,726,377,568/65,269.44
  6. Step 6: Final answer
    x = 57,092.23

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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.