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Finding the Fourth Proportional to 67,249.71, 100,836.90 and 31,187.50

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Solution

The fourth proportional to 67,249.71, 100,836.90 and 31,187.50 is: 46,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,249.71 : 100,836.90 = 31,187.50 : x
  2. Step 2: Convert to fraction form
    67,249.71/100,836.90 = 31,187.50/x
  3. Step 3: Cross multiply
    67,249.71x = 100,836.90 × 31,187.50
  4. Step 4: Simplify right side
    67,249.71x = 3,144,850,566.66
  5. Step 5: Solve for x
    x = 3,144,850,566.66/67,249.71
  6. Step 6: Final answer
    x = 46,763.78

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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.