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Finding the Fourth Proportional to 84,055.70, 126,121.82 and 31,469.28

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Solution

The fourth proportional to 84,055.70, 126,121.82 and 31,469.28 is: 47,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,055.70 : 126,121.82 = 31,469.28 : x
  2. Step 2: Convert to fraction form
    84,055.70/126,121.82 = 31,469.28/x
  3. Step 3: Cross multiply
    84,055.70x = 126,121.82 × 31,469.28
  4. Step 4: Simplify right side
    84,055.70x = 3,968,962,867.69
  5. Step 5: Solve for x
    x = 3,968,962,867.69/84,055.70
  6. Step 6: Final answer
    x = 47,218.25

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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.