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Finding the Fourth Proportional to 139,405.14, 192,379.50 and 78,986.94

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Solution

The fourth proportional to 139,405.14, 192,379.50 and 78,986.94 is: 109,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,405.14 : 192,379.50 = 78,986.94 : x
  2. Step 2: Convert to fraction form
    139,405.14/192,379.50 = 78,986.94/x
  3. Step 3: Cross multiply
    139,405.14x = 192,379.50 × 78,986.94
  4. Step 4: Simplify right side
    139,405.14x = 15,195,468,023.73
  5. Step 5: Solve for x
    x = 15,195,468,023.73/139,405.14
  6. Step 6: Final answer
    x = 109,002.21

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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.