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Finding the Fourth Proportional to 135,090.67, 202,469.90 and 75,801.78

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Solution

The fourth proportional to 135,090.67, 202,469.90 and 75,801.78 is: 113,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,090.67 : 202,469.90 = 75,801.78 : x
  2. Step 2: Convert to fraction form
    135,090.67/202,469.90 = 75,801.78/x
  3. Step 3: Cross multiply
    135,090.67x = 202,469.90 × 75,801.78
  4. Step 4: Simplify right side
    135,090.67x = 15,347,578,816.42
  5. Step 5: Solve for x
    x = 15,347,578,816.42/135,090.67
  6. Step 6: Final answer
    x = 113,609.47

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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.