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Finding the Fourth Proportional to 84,768.87, 127,131.89 and 31,431.54

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Solution

The fourth proportional to 84,768.87, 127,131.89 and 31,431.54 is: 47,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,768.87 : 127,131.89 = 31,431.54 : x
  2. Step 2: Convert to fraction form
    84,768.87/127,131.89 = 31,431.54/x
  3. Step 3: Cross multiply
    84,768.87x = 127,131.89 × 31,431.54
  4. Step 4: Simplify right side
    84,768.87x = 3,995,951,164.39
  5. Step 5: Solve for x
    x = 3,995,951,164.39/84,768.87
  6. Step 6: Final answer
    x = 47,139.37

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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.