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Finding the Fourth Proportional to 65,425, 90,286.52 and 35,617

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Solution

The fourth proportional to 65,425, 90,286.52 and 35,617 is: 49,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,425 : 90,286.52 = 35,617 : x
  2. Step 2: Convert to fraction form
    65,425/90,286.52 = 35,617/x
  3. Step 3: Cross multiply
    65,425x = 90,286.52 × 35,617
  4. Step 4: Simplify right side
    65,425x = 3,215,734,982.84
  5. Step 5: Solve for x
    x = 3,215,734,982.84/65,425
  6. Step 6: Final answer
    x = 49,151.47

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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.