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Finding the Fourth Proportional to 68,242.80, 102,364.20 and 20,857.80

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Solution

The fourth proportional to 68,242.80, 102,364.20 and 20,857.80 is: 31,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,242.80 : 102,364.20 = 20,857.80 : x
  2. Step 2: Convert to fraction form
    68,242.80/102,364.20 = 20,857.80/x
  3. Step 3: Cross multiply
    68,242.80x = 102,364.20 × 20,857.80
  4. Step 4: Simplify right side
    68,242.80x = 2,135,092,010.76
  5. Step 5: Solve for x
    x = 2,135,092,010.76/68,242.80
  6. Step 6: Final answer
    x = 31,286.70

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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.