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Finding the Fourth Proportional to 68,270.25, 102,417.11 and 20,884.21

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Solution

The fourth proportional to 68,270.25, 102,417.11 and 20,884.21 is: 31,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,270.25 : 102,417.11 = 20,884.21 : x
  2. Step 2: Convert to fraction form
    68,270.25/102,417.11 = 20,884.21/x
  3. Step 3: Cross multiply
    68,270.25x = 102,417.11 × 20,884.21
  4. Step 4: Simplify right side
    68,270.25x = 2,138,900,432.83
  5. Step 5: Solve for x
    x = 2,138,900,432.83/68,270.25
  6. Step 6: Final answer
    x = 31,329.90

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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.