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Finding the Fourth Proportional to 84,134.82, 126,174.93 and 27,959.83

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Solution

The fourth proportional to 84,134.82, 126,174.93 and 27,959.83 is: 41,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134.82 : 126,174.93 = 27,959.83 : x
  2. Step 2: Convert to fraction form
    84,134.82/126,174.93 = 27,959.83/x
  3. Step 3: Cross multiply
    84,134.82x = 126,174.93 × 27,959.83
  4. Step 4: Simplify right side
    84,134.82x = 3,527,829,593.06
  5. Step 5: Solve for x
    x = 3,527,829,593.06/84,134.82
  6. Step 6: Final answer
    x = 41,930.67

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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.