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Finding the Fourth Proportional to 80,392.26, 120,654 and 40,960.65

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Solution

The fourth proportional to 80,392.26, 120,654 and 40,960.65 is: 61,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,392.26 : 120,654 = 40,960.65 : x
  2. Step 2: Convert to fraction form
    80,392.26/120,654 = 40,960.65/x
  3. Step 3: Cross multiply
    80,392.26x = 120,654 × 40,960.65
  4. Step 4: Simplify right side
    80,392.26x = 4,942,066,265.10
  5. Step 5: Solve for x
    x = 4,942,066,265.10/80,392.26
  6. Step 6: Final answer
    x = 61,474.40

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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.