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Finding the Fourth Proportional to 65,165.96, 97,757.40 and 18,419.96

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Solution

The fourth proportional to 65,165.96, 97,757.40 and 18,419.96 is: 27,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.96 : 97,757.40 = 18,419.96 : x
  2. Step 2: Convert to fraction form
    65,165.96/97,757.40 = 18,419.96/x
  3. Step 3: Cross multiply
    65,165.96x = 97,757.40 × 18,419.96
  4. Step 4: Simplify right side
    65,165.96x = 1,800,687,397.70
  5. Step 5: Solve for x
    x = 1,800,687,397.70/65,165.96
  6. Step 6: Final answer
    x = 27,632.33

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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.