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Finding the Fourth Proportional to 207,394.94, 311,137.78 and 67,167.74

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Solution

The fourth proportional to 207,394.94, 311,137.78 and 67,167.74 is: 100,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,394.94 : 311,137.78 = 67,167.74 : x
  2. Step 2: Convert to fraction form
    207,394.94/311,137.78 = 67,167.74/x
  3. Step 3: Cross multiply
    207,394.94x = 311,137.78 × 67,167.74
  4. Step 4: Simplify right side
    207,394.94x = 20,898,421,511.22
  5. Step 5: Solve for x
    x = 20,898,421,511.22/207,394.94
  6. Step 6: Final answer
    x = 100,766.30

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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.