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Finding the Fourth Proportional to 84,046.63, 126,069.94 and 31,480.87

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Solution

The fourth proportional to 84,046.63, 126,069.94 and 31,480.87 is: 47,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,046.63 : 126,069.94 = 31,480.87 : x
  2. Step 2: Convert to fraction form
    84,046.63/126,069.94 = 31,480.87/x
  3. Step 3: Cross multiply
    84,046.63x = 126,069.94 × 31,480.87
  4. Step 4: Simplify right side
    84,046.63x = 3,968,790,761.70
  5. Step 5: Solve for x
    x = 3,968,790,761.70/84,046.63
  6. Step 6: Final answer
    x = 47,221.30

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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.