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Finding the Fourth Proportional to 68,203.47, 102,311.20 and 20,829.25

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Solution

The fourth proportional to 68,203.47, 102,311.20 and 20,829.25 is: 31,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,203.47 : 102,311.20 = 20,829.25 : x
  2. Step 2: Convert to fraction form
    68,203.47/102,311.20 = 20,829.25/x
  3. Step 3: Cross multiply
    68,203.47x = 102,311.20 × 20,829.25
  4. Step 4: Simplify right side
    68,203.47x = 2,131,065,716.53
  5. Step 5: Solve for x
    x = 2,131,065,716.53/68,203.47
  6. Step 6: Final answer
    x = 31,245.71

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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.