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Finding the Fourth Proportional to 83,991.75, 126,036.83 and 31,438.14

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Solution

The fourth proportional to 83,991.75, 126,036.83 and 31,438.14 is: 47,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991.75 : 126,036.83 = 31,438.14 : x
  2. Step 2: Convert to fraction form
    83,991.75/126,036.83 = 31,438.14/x
  3. Step 3: Cross multiply
    83,991.75x = 126,036.83 × 31,438.14
  4. Step 4: Simplify right side
    83,991.75x = 3,962,363,506.70
  5. Step 5: Solve for x
    x = 3,962,363,506.70/83,991.75
  6. Step 6: Final answer
    x = 47,175.63

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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.