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Finding the Fourth Proportional to 103,169.78, 154,754.72 and 68,101.24

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Solution

The fourth proportional to 103,169.78, 154,754.72 and 68,101.24 is: 102,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,169.78 : 154,754.72 = 68,101.24 : x
  2. Step 2: Convert to fraction form
    103,169.78/154,754.72 = 68,101.24/x
  3. Step 3: Cross multiply
    103,169.78x = 154,754.72 × 68,101.24
  4. Step 4: Simplify right side
    103,169.78x = 10,538,988,327.85
  5. Step 5: Solve for x
    x = 10,538,988,327.85/103,169.78
  6. Step 6: Final answer
    x = 102,151.89

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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.