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Finding the Fourth Proportional to 65,750, 90,735 and 35,942

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Solution

The fourth proportional to 65,750, 90,735 and 35,942 is: 49,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750 : 90,735 = 35,942 : x
  2. Step 2: Convert to fraction form
    65,750/90,735 = 35,942/x
  3. Step 3: Cross multiply
    65,750x = 90,735 × 35,942
  4. Step 4: Simplify right side
    65,750x = 3,261,197,370
  5. Step 5: Solve for x
    x = 3,261,197,370/65,750
  6. Step 6: Final answer
    x = 49,599.96

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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.