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Finding the Fourth Proportional to 65,467, 90,344.48 and 35,659

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Solution

The fourth proportional to 65,467, 90,344.48 and 35,659 is: 49,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,467 : 90,344.48 = 35,659 : x
  2. Step 2: Convert to fraction form
    65,467/90,344.48 = 35,659/x
  3. Step 3: Cross multiply
    65,467x = 90,344.48 × 35,659
  4. Step 4: Simplify right side
    65,467x = 3,221,593,812.32
  5. Step 5: Solve for x
    x = 3,221,593,812.32/65,467
  6. Step 6: Final answer
    x = 49,209.43

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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.