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Finding the Fourth Proportional to 65,744, 90,727.08 and 35,936

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Solution

The fourth proportional to 65,744, 90,727.08 and 35,936 is: 49,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,744 : 90,727.08 = 35,936 : x
  2. Step 2: Convert to fraction form
    65,744/90,727.08 = 35,936/x
  3. Step 3: Cross multiply
    65,744x = 90,727.08 × 35,936
  4. Step 4: Simplify right side
    65,744x = 3,260,368,346.88
  5. Step 5: Solve for x
    x = 3,260,368,346.88/65,744
  6. Step 6: Final answer
    x = 49,591.88

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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.