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Finding the Fourth Proportional to 65,784, 90,781.92 and 35,976

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Solution

The fourth proportional to 65,784, 90,781.92 and 35,976 is: 49,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784 : 90,781.92 = 35,976 : x
  2. Step 2: Convert to fraction form
    65,784/90,781.92 = 35,976/x
  3. Step 3: Cross multiply
    65,784x = 90,781.92 × 35,976
  4. Step 4: Simplify right side
    65,784x = 3,265,970,353.92
  5. Step 5: Solve for x
    x = 3,265,970,353.92/65,784
  6. Step 6: Final answer
    x = 49,646.88

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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.