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Finding the Fourth Proportional to 65,680.25, 90,640.91 and 35,872.25

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Solution

The fourth proportional to 65,680.25, 90,640.91 and 35,872.25 is: 49,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,680.25 : 90,640.91 = 35,872.25 : x
  2. Step 2: Convert to fraction form
    65,680.25/90,640.91 = 35,872.25/x
  3. Step 3: Cross multiply
    65,680.25x = 90,640.91 × 35,872.25
  4. Step 4: Simplify right side
    65,680.25x = 3,251,493,204.39
  5. Step 5: Solve for x
    x = 3,251,493,204.39/65,680.25
  6. Step 6: Final answer
    x = 49,504.88

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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.