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Finding the Fourth Proportional to 103,233.48, 154,849.86 and 68,164.80

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Solution

The fourth proportional to 103,233.48, 154,849.86 and 68,164.80 is: 102,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.48 : 154,849.86 = 68,164.80 : x
  2. Step 2: Convert to fraction form
    103,233.48/154,849.86 = 68,164.80/x
  3. Step 3: Cross multiply
    103,233.48x = 154,849.86 × 68,164.80
  4. Step 4: Simplify right side
    103,233.48x = 10,555,309,736.93
  5. Step 5: Solve for x
    x = 10,555,309,736.93/103,233.48
  6. Step 6: Final answer
    x = 102,246.96

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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.