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Finding the Fourth Proportional to 135,383.80, 203,019.81 and 51,129.63

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Solution

The fourth proportional to 135,383.80, 203,019.81 and 51,129.63 is: 76,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,383.80 : 203,019.81 = 51,129.63 : x
  2. Step 2: Convert to fraction form
    135,383.80/203,019.81 = 51,129.63/x
  3. Step 3: Cross multiply
    135,383.80x = 203,019.81 × 51,129.63
  4. Step 4: Simplify right side
    135,383.80x = 10,380,327,767.97
  5. Step 5: Solve for x
    x = 10,380,327,767.97/135,383.80
  6. Step 6: Final answer
    x = 76,673.34

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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.