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Finding the Fourth Proportional to 135,108, 202,662.72 and 36,612

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Solution

The fourth proportional to 135,108, 202,662.72 and 36,612 is: 54,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,108 : 202,662.72 = 36,612 : x
  2. Step 2: Convert to fraction form
    135,108/202,662.72 = 36,612/x
  3. Step 3: Cross multiply
    135,108x = 202,662.72 × 36,612
  4. Step 4: Simplify right side
    135,108x = 7,419,887,504.64
  5. Step 5: Solve for x
    x = 7,419,887,504.64/135,108
  6. Step 6: Final answer
    x = 54,918.20

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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.