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Finding the Fourth Proportional to 65,751.92, 90,735.96 and 35,942

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Solution

The fourth proportional to 65,751.92, 90,735.96 and 35,942 is: 49,599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.92 : 90,735.96 = 35,942 : x
  2. Step 2: Convert to fraction form
    65,751.92/90,735.96 = 35,942/x
  3. Step 3: Cross multiply
    65,751.92x = 90,735.96 × 35,942
  4. Step 4: Simplify right side
    65,751.92x = 3,261,231,874.32
  5. Step 5: Solve for x
    x = 3,261,231,874.32/65,751.92
  6. Step 6: Final answer
    x = 49,599.04

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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.