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Finding the Fourth Proportional to 65,375.64, 97,995.42 and 30,286.44

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Solution

The fourth proportional to 65,375.64, 97,995.42 and 30,286.44 is: 45,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,375.64 : 97,995.42 = 30,286.44 : x
  2. Step 2: Convert to fraction form
    65,375.64/97,995.42 = 30,286.44/x
  3. Step 3: Cross multiply
    65,375.64x = 97,995.42 × 30,286.44
  4. Step 4: Simplify right side
    65,375.64x = 2,967,932,408.10
  5. Step 5: Solve for x
    x = 2,967,932,408.10/65,375.64
  6. Step 6: Final answer
    x = 45,398.14

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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.