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Finding the Fourth Proportional to 207,957.28, 311,963.72 and 72,989.32

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Solution

The fourth proportional to 207,957.28, 311,963.72 and 72,989.32 is: 109,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957.28 : 311,963.72 = 72,989.32 : x
  2. Step 2: Convert to fraction form
    207,957.28/311,963.72 = 72,989.32/x
  3. Step 3: Cross multiply
    207,957.28x = 311,963.72 × 72,989.32
  4. Step 4: Simplify right side
    207,957.28x = 22,770,019,787.47
  5. Step 5: Solve for x
    x = 22,770,019,787.47/207,957.28
  6. Step 6: Final answer
    x = 109,493.74

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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.