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Finding the Fourth Proportional to 68,069.92, 102,104.88 and 31,108

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Solution

The fourth proportional to 68,069.92, 102,104.88 and 31,108 is: 46,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,069.92 : 102,104.88 = 31,108 : x
  2. Step 2: Convert to fraction form
    68,069.92/102,104.88 = 31,108/x
  3. Step 3: Cross multiply
    68,069.92x = 102,104.88 × 31,108
  4. Step 4: Simplify right side
    68,069.92x = 3,176,278,607.04
  5. Step 5: Solve for x
    x = 3,176,278,607.04/68,069.92
  6. Step 6: Final answer
    x = 46,662

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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.