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Finding the Fourth Proportional to 68,778, 103,171.86 and 27,225

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Solution

The fourth proportional to 68,778, 103,171.86 and 27,225 is: 40,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,778 : 103,171.86 = 27,225 : x
  2. Step 2: Convert to fraction form
    68,778/103,171.86 = 27,225/x
  3. Step 3: Cross multiply
    68,778x = 103,171.86 × 27,225
  4. Step 4: Simplify right side
    68,778x = 2,808,853,888.50
  5. Step 5: Solve for x
    x = 2,808,853,888.50/68,778
  6. Step 6: Final answer
    x = 40,839.42

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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.