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Finding the Fourth Proportional to 91,375, 126,097.50 and 51,631

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Solution

The fourth proportional to 91,375, 126,097.50 and 51,631 is: 71,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,375 : 126,097.50 = 51,631 : x
  2. Step 2: Convert to fraction form
    91,375/126,097.50 = 51,631/x
  3. Step 3: Cross multiply
    91,375x = 126,097.50 × 51,631
  4. Step 4: Simplify right side
    91,375x = 6,510,540,022.50
  5. Step 5: Solve for x
    x = 6,510,540,022.50/91,375
  6. Step 6: Final answer
    x = 71,250.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.