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Finding the Fourth Proportional to 199,382.71, 298,815.72 and 80,989.46

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Solution

The fourth proportional to 199,382.71, 298,815.72 and 80,989.46 is: 121,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,382.71 : 298,815.72 = 80,989.46 : x
  2. Step 2: Convert to fraction form
    199,382.71/298,815.72 = 80,989.46/x
  3. Step 3: Cross multiply
    199,382.71x = 298,815.72 × 80,989.46
  4. Step 4: Simplify right side
    199,382.71x = 24,200,923,802.31
  5. Step 5: Solve for x
    x = 24,200,923,802.31/199,382.71
  6. Step 6: Final answer
    x = 121,379.25

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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.