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Finding the Fourth Proportional to 84,286.88, 126,448.80 and 31,696.37

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Solution

The fourth proportional to 84,286.88, 126,448.80 and 31,696.37 is: 47,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286.88 : 126,448.80 = 31,696.37 : x
  2. Step 2: Convert to fraction form
    84,286.88/126,448.80 = 31,696.37/x
  3. Step 3: Cross multiply
    84,286.88x = 126,448.80 × 31,696.37
  4. Step 4: Simplify right side
    84,286.88x = 4,007,967,160.13
  5. Step 5: Solve for x
    x = 4,007,967,160.13/84,286.88
  6. Step 6: Final answer
    x = 47,551.50

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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.