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Finding the Fourth Proportional to 312,738.57, 469,103.76 and 76,081.50

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Solution

The fourth proportional to 312,738.57, 469,103.76 and 76,081.50 is: 114,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,738.57 : 469,103.76 = 76,081.50 : x
  2. Step 2: Convert to fraction form
    312,738.57/469,103.76 = 76,081.50/x
  3. Step 3: Cross multiply
    312,738.57x = 469,103.76 × 76,081.50
  4. Step 4: Simplify right side
    312,738.57x = 35,690,117,716.44
  5. Step 5: Solve for x
    x = 35,690,117,716.44/312,738.57
  6. Step 6: Final answer
    x = 114,121.25

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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.