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Finding the Fourth Proportional to 65,344, 90,176.64 and 35,537.92

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Solution

The fourth proportional to 65,344, 90,176.64 and 35,537.92 is: 49,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344 : 90,176.64 = 35,537.92 : x
  2. Step 2: Convert to fraction form
    65,344/90,176.64 = 35,537.92/x
  3. Step 3: Cross multiply
    65,344x = 90,176.64 × 35,537.92
  4. Step 4: Simplify right side
    65,344x = 3,204,690,218.19
  5. Step 5: Solve for x
    x = 3,204,690,218.19/65,344
  6. Step 6: Final answer
    x = 49,043.37

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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.