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Finding the Fourth Proportional to 68,446.92, 102,420.59 and 40,380.42

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Solution

The fourth proportional to 68,446.92, 102,420.59 and 40,380.42 is: 60,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,446.92 : 102,420.59 = 40,380.42 : x
  2. Step 2: Convert to fraction form
    68,446.92/102,420.59 = 40,380.42/x
  3. Step 3: Cross multiply
    68,446.92x = 102,420.59 × 40,380.42
  4. Step 4: Simplify right side
    68,446.92x = 4,135,786,440.85
  5. Step 5: Solve for x
    x = 4,135,786,440.85/68,446.92
  6. Step 6: Final answer
    x = 60,423.27

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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.