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Finding the Fourth Proportional to 193,489.50, 289,890.50 and 165,121.68

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Solution

The fourth proportional to 193,489.50, 289,890.50 and 165,121.68 is: 247,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,489.50 : 289,890.50 = 165,121.68 : x
  2. Step 2: Convert to fraction form
    193,489.50/289,890.50 = 165,121.68/x
  3. Step 3: Cross multiply
    193,489.50x = 289,890.50 × 165,121.68
  4. Step 4: Simplify right side
    193,489.50x = 47,867,206,376.04
  5. Step 5: Solve for x
    x = 47,867,206,376.04/193,489.50
  6. Step 6: Final answer
    x = 247,389.17

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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.