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Finding the Fourth Proportional to 139,834.80, 192,960.26 and 78,576.32

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Solution

The fourth proportional to 139,834.80, 192,960.26 and 78,576.32 is: 108,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,834.80 : 192,960.26 = 78,576.32 : x
  2. Step 2: Convert to fraction form
    139,834.80/192,960.26 = 78,576.32/x
  3. Step 3: Cross multiply
    139,834.80x = 192,960.26 × 78,576.32
  4. Step 4: Simplify right side
    139,834.80x = 15,162,107,521.22
  5. Step 5: Solve for x
    x = 15,162,107,521.22/139,834.80
  6. Step 6: Final answer
    x = 108,428.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.