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Finding the Fourth Proportional to 68,086.60, 102,206.70 and 40,400.20

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Solution

The fourth proportional to 68,086.60, 102,206.70 and 40,400.20 is: 60,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,086.60 : 102,206.70 = 40,400.20 : x
  2. Step 2: Convert to fraction form
    68,086.60/102,206.70 = 40,400.20/x
  3. Step 3: Cross multiply
    68,086.60x = 102,206.70 × 40,400.20
  4. Step 4: Simplify right side
    68,086.60x = 4,129,171,121.34
  5. Step 5: Solve for x
    x = 4,129,171,121.34/68,086.60
  6. Step 6: Final answer
    x = 60,645.87

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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.