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Finding the Fourth Proportional to 208,312.74, 312,469.56 and 75,286.92

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Solution

The fourth proportional to 208,312.74, 312,469.56 and 75,286.92 is: 112,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.74 : 312,469.56 = 75,286.92 : x
  2. Step 2: Convert to fraction form
    208,312.74/312,469.56 = 75,286.92/x
  3. Step 3: Cross multiply
    208,312.74x = 312,469.56 × 75,286.92
  4. Step 4: Simplify right side
    208,312.74x = 23,524,870,766.16
  5. Step 5: Solve for x
    x = 23,524,870,766.16/208,312.74
  6. Step 6: Final answer
    x = 112,930.54

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1.5x scale

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.