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Finding the Fourth Proportional to 65,168.48, 97,741.20 and 18,408.80

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Solution

The fourth proportional to 65,168.48, 97,741.20 and 18,408.80 is: 27,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,168.48 : 97,741.20 = 18,408.80 : x
  2. Step 2: Convert to fraction form
    65,168.48/97,741.20 = 18,408.80/x
  3. Step 3: Cross multiply
    65,168.48x = 97,741.20 × 18,408.80
  4. Step 4: Simplify right side
    65,168.48x = 1,799,298,202.56
  5. Step 5: Solve for x
    x = 1,799,298,202.56/65,168.48
  6. Step 6: Final answer
    x = 27,609.95

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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.