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Finding the Fourth Proportional to 135,467.88, 203,144.76 and 51,213.84

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Solution

The fourth proportional to 135,467.88, 203,144.76 and 51,213.84 is: 76,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,467.88 : 203,144.76 = 51,213.84 : x
  2. Step 2: Convert to fraction form
    135,467.88/203,144.76 = 51,213.84/x
  3. Step 3: Cross multiply
    135,467.88x = 203,144.76 × 51,213.84
  4. Step 4: Simplify right side
    135,467.88x = 10,403,823,235.48
  5. Step 5: Solve for x
    x = 10,403,823,235.48/135,467.88
  6. Step 6: Final answer
    x = 76,799.19

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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.