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Finding the Fourth Proportional to 192,874.56, 289,056.66 and 139,745.04

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Solution

The fourth proportional to 192,874.56, 289,056.66 and 139,745.04 is: 209,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,874.56 : 289,056.66 = 139,745.04 : x
  2. Step 2: Convert to fraction form
    192,874.56/289,056.66 = 139,745.04/x
  3. Step 3: Cross multiply
    192,874.56x = 289,056.66 × 139,745.04
  4. Step 4: Simplify right side
    192,874.56x = 40,394,234,513.97
  5. Step 5: Solve for x
    x = 40,394,234,513.97/192,874.56
  6. Step 6: Final answer
    x = 209,432.67

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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.