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Finding the Fourth Proportional to 65,350, 90,183.76 and 35,542

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Solution

The fourth proportional to 65,350, 90,183.76 and 35,542 is: 49,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350 : 90,183.76 = 35,542 : x
  2. Step 2: Convert to fraction form
    65,350/90,183.76 = 35,542/x
  3. Step 3: Cross multiply
    65,350x = 90,183.76 × 35,542
  4. Step 4: Simplify right side
    65,350x = 3,205,311,197.92
  5. Step 5: Solve for x
    x = 3,205,311,197.92/65,350
  6. Step 6: Final answer
    x = 49,048.37

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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.