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Finding the Fourth Proportional to 207,728.70, 311,595.38 and 57,959.91

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Solution

The fourth proportional to 207,728.70, 311,595.38 and 57,959.91 is: 86,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,728.70 : 311,595.38 = 57,959.91 : x
  2. Step 2: Convert to fraction form
    207,728.70/311,595.38 = 57,959.91/x
  3. Step 3: Cross multiply
    207,728.70x = 311,595.38 × 57,959.91
  4. Step 4: Simplify right side
    207,728.70x = 18,060,039,891.42
  5. Step 5: Solve for x
    x = 18,060,039,891.42/207,728.70
  6. Step 6: Final answer
    x = 86,940.51

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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.