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Finding the Fourth Proportional to 68,197.16, 102,295.74 and 20,812.49

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Solution

The fourth proportional to 68,197.16, 102,295.74 and 20,812.49 is: 31,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,197.16 : 102,295.74 = 20,812.49 : x
  2. Step 2: Convert to fraction form
    68,197.16/102,295.74 = 20,812.49/x
  3. Step 3: Cross multiply
    68,197.16x = 102,295.74 × 20,812.49
  4. Step 4: Simplify right side
    68,197.16x = 2,129,028,961.73
  5. Step 5: Solve for x
    x = 2,129,028,961.73/68,197.16
  6. Step 6: Final answer
    x = 31,218.74

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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.