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Finding the Fourth Proportional to 65,149.96, 97,739.02 and 20,171.24

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Solution

The fourth proportional to 65,149.96, 97,739.02 and 20,171.24 is: 30,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.96 : 97,739.02 = 20,171.24 : x
  2. Step 2: Convert to fraction form
    65,149.96/97,739.02 = 20,171.24/x
  3. Step 3: Cross multiply
    65,149.96x = 97,739.02 × 20,171.24
  4. Step 4: Simplify right side
    65,149.96x = 1,971,517,229.78
  5. Step 5: Solve for x
    x = 1,971,517,229.78/65,149.96
  6. Step 6: Final answer
    x = 30,261.22

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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.