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Finding the Fourth Proportional to 84,141.78, 126,115.76 and 34,167

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Solution

The fourth proportional to 84,141.78, 126,115.76 and 34,167 is: 51,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141.78 : 126,115.76 = 34,167 : x
  2. Step 2: Convert to fraction form
    84,141.78/126,115.76 = 34,167/x
  3. Step 3: Cross multiply
    84,141.78x = 126,115.76 × 34,167
  4. Step 4: Simplify right side
    84,141.78x = 4,308,997,001.09
  5. Step 5: Solve for x
    x = 4,308,997,001.09/84,141.78
  6. Step 6: Final answer
    x = 51,211.15

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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.