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Finding the Fourth Proportional to 207,967.28, 311,972.79 and 67,736.84

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Solution

The fourth proportional to 207,967.28, 311,972.79 and 67,736.84 is: 101,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.28 : 311,972.79 = 67,736.84 : x
  2. Step 2: Convert to fraction form
    207,967.28/311,972.79 = 67,736.84/x
  3. Step 3: Cross multiply
    207,967.28x = 311,972.79 × 67,736.84
  4. Step 4: Simplify right side
    207,967.28x = 21,132,050,960.58
  5. Step 5: Solve for x
    x = 21,132,050,960.58/207,967.28
  6. Step 6: Final answer
    x = 101,612.38

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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.