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Finding the Fourth Proportional to 65,679.75, 90,640.22 and 35,871.75

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Solution

The fourth proportional to 65,679.75, 90,640.22 and 35,871.75 is: 49,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679.75 : 90,640.22 = 35,871.75 : x
  2. Step 2: Convert to fraction form
    65,679.75/90,640.22 = 35,871.75/x
  3. Step 3: Cross multiply
    65,679.75x = 90,640.22 × 35,871.75
  4. Step 4: Simplify right side
    65,679.75x = 3,251,423,132.43
  5. Step 5: Solve for x
    x = 3,251,423,132.43/65,679.75
  6. Step 6: Final answer
    x = 49,504.19

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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.