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Finding the Fourth Proportional to 68,109.50, 102,164.25 and 18,861.50

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Solution

The fourth proportional to 68,109.50, 102,164.25 and 18,861.50 is: 28,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,109.50 : 102,164.25 = 18,861.50 : x
  2. Step 2: Convert to fraction form
    68,109.50/102,164.25 = 18,861.50/x
  3. Step 3: Cross multiply
    68,109.50x = 102,164.25 × 18,861.50
  4. Step 4: Simplify right side
    68,109.50x = 1,926,971,001.38
  5. Step 5: Solve for x
    x = 1,926,971,001.38/68,109.50
  6. Step 6: Final answer
    x = 28,292.25

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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.