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Finding the Fourth Proportional to 65,408.60, 98,122.83 and 27,968.78

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Solution

The fourth proportional to 65,408.60, 98,122.83 and 27,968.78 is: 41,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.60 : 98,122.83 = 27,968.78 : x
  2. Step 2: Convert to fraction form
    65,408.60/98,122.83 = 27,968.78/x
  3. Step 3: Cross multiply
    65,408.60x = 98,122.83 × 27,968.78
  4. Step 4: Simplify right side
    65,408.60x = 2,744,375,705.40
  5. Step 5: Solve for x
    x = 2,744,375,705.40/65,408.60
  6. Step 6: Final answer
    x = 41,957.41

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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.