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Finding the Fourth Proportional to 68,109.75, 102,164.67 and 18,861.75

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Solution

The fourth proportional to 68,109.75, 102,164.67 and 18,861.75 is: 28,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,109.75 : 102,164.67 = 18,861.75 : x
  2. Step 2: Convert to fraction form
    68,109.75/102,164.67 = 18,861.75/x
  3. Step 3: Cross multiply
    68,109.75x = 102,164.67 × 18,861.75
  4. Step 4: Simplify right side
    68,109.75x = 1,927,004,464.37
  5. Step 5: Solve for x
    x = 1,927,004,464.37/68,109.75
  6. Step 6: Final answer
    x = 28,292.64

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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.