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Finding the Fourth Proportional to 68,180.72, 102,286.48 and 20,800.08

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Solution

The fourth proportional to 68,180.72, 102,286.48 and 20,800.08 is: 31,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,180.72 : 102,286.48 = 20,800.08 : x
  2. Step 2: Convert to fraction form
    68,180.72/102,286.48 = 20,800.08/x
  3. Step 3: Cross multiply
    68,180.72x = 102,286.48 × 20,800.08
  4. Step 4: Simplify right side
    68,180.72x = 2,127,566,966.92
  5. Step 5: Solve for x
    x = 2,127,566,966.92/68,180.72
  6. Step 6: Final answer
    x = 31,204.82

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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.