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Finding the Fourth Proportional to 103,177.80, 154,766.72 and 68,109.24

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Solution

The fourth proportional to 103,177.80, 154,766.72 and 68,109.24 is: 102,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,177.80 : 154,766.72 = 68,109.24 : x
  2. Step 2: Convert to fraction form
    103,177.80/154,766.72 = 68,109.24/x
  3. Step 3: Cross multiply
    103,177.80x = 154,766.72 × 68,109.24
  4. Step 4: Simplify right side
    103,177.80x = 10,541,043,676.49
  5. Step 5: Solve for x
    x = 10,541,043,676.49/103,177.80
  6. Step 6: Final answer
    x = 102,163.87

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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.