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Finding the Fourth Proportional to 207,957.78, 311,936.81 and 50,186.25

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Solution

The fourth proportional to 207,957.78, 311,936.81 and 50,186.25 is: 75,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957.78 : 311,936.81 = 50,186.25 : x
  2. Step 2: Convert to fraction form
    207,957.78/311,936.81 = 50,186.25/x
  3. Step 3: Cross multiply
    207,957.78x = 311,936.81 × 50,186.25
  4. Step 4: Simplify right side
    207,957.78x = 15,654,938,479.93
  5. Step 5: Solve for x
    x = 15,654,938,479.93/207,957.78
  6. Step 6: Final answer
    x = 75,279.41

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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.