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Finding the Fourth Proportional to 65,351, 90,185.14 and 35,543

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Solution

The fourth proportional to 65,351, 90,185.14 and 35,543 is: 49,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,351 : 90,185.14 = 35,543 : x
  2. Step 2: Convert to fraction form
    65,351/90,185.14 = 35,543/x
  3. Step 3: Cross multiply
    65,351x = 90,185.14 × 35,543
  4. Step 4: Simplify right side
    65,351x = 3,205,450,431.02
  5. Step 5: Solve for x
    x = 3,205,450,431.02/65,351
  6. Step 6: Final answer
    x = 49,049.75

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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.