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Finding the Fourth Proportional to 65,341, 90,170.90 and 35,533

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Solution

The fourth proportional to 65,341, 90,170.90 and 35,533 is: 49,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,341 : 90,170.90 = 35,533 : x
  2. Step 2: Convert to fraction form
    65,341/90,170.90 = 35,533/x
  3. Step 3: Cross multiply
    65,341x = 90,170.90 × 35,533
  4. Step 4: Simplify right side
    65,341x = 3,204,042,589.70
  5. Step 5: Solve for x
    x = 3,204,042,589.70/65,341
  6. Step 6: Final answer
    x = 49,035.71

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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.