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Finding the Fourth Proportional to 65,863.73, 90,891.38 and 35,648.78

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Solution

The fourth proportional to 65,863.73, 90,891.38 and 35,648.78 is: 49,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863.73 : 90,891.38 = 35,648.78 : x
  2. Step 2: Convert to fraction form
    65,863.73/90,891.38 = 35,648.78/x
  3. Step 3: Cross multiply
    65,863.73x = 90,891.38 × 35,648.78
  4. Step 4: Simplify right side
    65,863.73x = 3,240,167,060.68
  5. Step 5: Solve for x
    x = 3,240,167,060.68/65,863.73
  6. Step 6: Final answer
    x = 49,195.02

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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.