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Finding the Fourth Proportional to 103,167.78, 154,751.72 and 68,099.24

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Solution

The fourth proportional to 103,167.78, 154,751.72 and 68,099.24 is: 102,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,167.78 : 154,751.72 = 68,099.24 : x
  2. Step 2: Convert to fraction form
    103,167.78/154,751.72 = 68,099.24/x
  3. Step 3: Cross multiply
    103,167.78x = 154,751.72 × 68,099.24
  4. Step 4: Simplify right side
    103,167.78x = 10,538,473,406.44
  5. Step 5: Solve for x
    x = 10,538,473,406.44/103,167.78
  6. Step 6: Final answer
    x = 102,148.88

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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.