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Finding the Fourth Proportional to 65,103.09, 97,654.64 and 20,743.44

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Solution

The fourth proportional to 65,103.09, 97,654.64 and 20,743.44 is: 31,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103.09 : 97,654.64 = 20,743.44 : x
  2. Step 2: Convert to fraction form
    65,103.09/97,654.64 = 20,743.44/x
  3. Step 3: Cross multiply
    65,103.09x = 97,654.64 × 20,743.44
  4. Step 4: Simplify right side
    65,103.09x = 2,025,693,165.56
  5. Step 5: Solve for x
    x = 2,025,693,165.56/65,103.09
  6. Step 6: Final answer
    x = 31,115.16

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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.