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Finding the Fourth Proportional to 207,940.40, 311,930.24 and 58,180.72

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Solution

The fourth proportional to 207,940.40, 311,930.24 and 58,180.72 is: 87,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940.40 : 311,930.24 = 58,180.72 : x
  2. Step 2: Convert to fraction form
    207,940.40/311,930.24 = 58,180.72/x
  3. Step 3: Cross multiply
    207,940.40x = 311,930.24 × 58,180.72
  4. Step 4: Simplify right side
    207,940.40x = 18,148,325,952.97
  5. Step 5: Solve for x
    x = 18,148,325,952.97/207,940.40
  6. Step 6: Final answer
    x = 87,276.58

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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.