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Finding the Fourth Proportional to 103,189.57, 154,784.39 and 68,121.03

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Solution

The fourth proportional to 103,189.57, 154,784.39 and 68,121.03 is: 102,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,189.57 : 154,784.39 = 68,121.03 : x
  2. Step 2: Convert to fraction form
    103,189.57/154,784.39 = 68,121.03/x
  3. Step 3: Cross multiply
    103,189.57x = 154,784.39 × 68,121.03
  4. Step 4: Simplify right side
    103,189.57x = 10,544,072,074.72
  5. Step 5: Solve for x
    x = 10,544,072,074.72/103,189.57
  6. Step 6: Final answer
    x = 102,181.57

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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.