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Finding the Fourth Proportional to 139,230.13, 192,187.46 and 82,641.50

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Solution

The fourth proportional to 139,230.13, 192,187.46 and 82,641.50 is: 114,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,230.13 : 192,187.46 = 82,641.50 : x
  2. Step 2: Convert to fraction form
    139,230.13/192,187.46 = 82,641.50/x
  3. Step 3: Cross multiply
    139,230.13x = 192,187.46 × 82,641.50
  4. Step 4: Simplify right side
    139,230.13x = 15,882,659,975.59
  5. Step 5: Solve for x
    x = 15,882,659,975.59/139,230.13
  6. Step 6: Final answer
    x = 114,074.88

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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.