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Finding the Fourth Proportional to 84,542.82, 126,775.89 and 31,914.96

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Solution

The fourth proportional to 84,542.82, 126,775.89 and 31,914.96 is: 47,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,542.82 : 126,775.89 = 31,914.96 : x
  2. Step 2: Convert to fraction form
    84,542.82/126,775.89 = 31,914.96/x
  3. Step 3: Cross multiply
    84,542.82x = 126,775.89 × 31,914.96
  4. Step 4: Simplify right side
    84,542.82x = 4,046,047,458.31
  5. Step 5: Solve for x
    x = 4,046,047,458.31/84,542.82
  6. Step 6: Final answer
    x = 47,857.97

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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.