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Finding the Fourth Proportional to 68,138.10, 102,170.70 and 23,766.30

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Solution

The fourth proportional to 68,138.10, 102,170.70 and 23,766.30 is: 35,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.10 : 102,170.70 = 23,766.30 : x
  2. Step 2: Convert to fraction form
    68,138.10/102,170.70 = 23,766.30/x
  3. Step 3: Cross multiply
    68,138.10x = 102,170.70 × 23,766.30
  4. Step 4: Simplify right side
    68,138.10x = 2,428,219,507.41
  5. Step 5: Solve for x
    x = 2,428,219,507.41/68,138.10
  6. Step 6: Final answer
    x = 35,636.74

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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.