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Finding the Fourth Proportional to 65,419.68, 98,105.72 and 27,982.49

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Solution

The fourth proportional to 65,419.68, 98,105.72 and 27,982.49 is: 41,963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419.68 : 98,105.72 = 27,982.49 : x
  2. Step 2: Convert to fraction form
    65,419.68/98,105.72 = 27,982.49/x
  3. Step 3: Cross multiply
    65,419.68x = 98,105.72 × 27,982.49
  4. Step 4: Simplify right side
    65,419.68x = 2,745,241,698.40
  5. Step 5: Solve for x
    x = 2,745,241,698.40/65,419.68
  6. Step 6: Final answer
    x = 41,963.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.