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Finding the Fourth Proportional to 207,717.59, 311,628.87 and 57,957.78

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Solution

The fourth proportional to 207,717.59, 311,628.87 and 57,957.78 is: 86,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,717.59 : 311,628.87 = 57,957.78 : x
  2. Step 2: Convert to fraction form
    207,717.59/311,628.87 = 57,957.78/x
  3. Step 3: Cross multiply
    207,717.59x = 311,628.87 × 57,957.78
  4. Step 4: Simplify right side
    207,717.59x = 18,061,318,657.72
  5. Step 5: Solve for x
    x = 18,061,318,657.72/207,717.59
  6. Step 6: Final answer
    x = 86,951.32

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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.