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Finding the Fourth Proportional to 135,744.16, 203,676.72 and 52,644.64

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Solution

The fourth proportional to 135,744.16, 203,676.72 and 52,644.64 is: 78,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744.16 : 203,676.72 = 52,644.64 : x
  2. Step 2: Convert to fraction form
    135,744.16/203,676.72 = 52,644.64/x
  3. Step 3: Cross multiply
    135,744.16x = 203,676.72 × 52,644.64
  4. Step 4: Simplify right side
    135,744.16x = 10,722,487,600.78
  5. Step 5: Solve for x
    x = 10,722,487,600.78/135,744.16
  6. Step 6: Final answer
    x = 78,990.42

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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.