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Finding the Fourth Proportional to 135,173.40, 202,800.96 and 71,982.96

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Solution

The fourth proportional to 135,173.40, 202,800.96 and 71,982.96 is: 107,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,173.40 : 202,800.96 = 71,982.96 : x
  2. Step 2: Convert to fraction form
    135,173.40/202,800.96 = 71,982.96/x
  3. Step 3: Cross multiply
    135,173.40x = 202,800.96 × 71,982.96
  4. Step 4: Simplify right side
    135,173.40x = 14,598,213,391.64
  5. Step 5: Solve for x
    x = 14,598,213,391.64/135,173.40
  6. Step 6: Final answer
    x = 107,996.20

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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.