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Finding the Fourth Proportional to 65,731.67, 90,709.77 and 35,517.05

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Solution

The fourth proportional to 65,731.67, 90,709.77 and 35,517.05 is: 49,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731.67 : 90,709.77 = 35,517.05 : x
  2. Step 2: Convert to fraction form
    65,731.67/90,709.77 = 35,517.05/x
  3. Step 3: Cross multiply
    65,731.67x = 90,709.77 × 35,517.05
  4. Step 4: Simplify right side
    65,731.67x = 3,221,743,456.38
  5. Step 5: Solve for x
    x = 3,221,743,456.38/65,731.67
  6. Step 6: Final answer
    x = 49,013.57

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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.