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Finding the Fourth Proportional to 203,568, 280,923.84 and 114,144

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Solution

The fourth proportional to 203,568, 280,923.84 and 114,144 is: 157,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,568 : 280,923.84 = 114,144 : x
  2. Step 2: Convert to fraction form
    203,568/280,923.84 = 114,144/x
  3. Step 3: Cross multiply
    203,568x = 280,923.84 × 114,144
  4. Step 4: Simplify right side
    203,568x = 32,065,770,792.96
  5. Step 5: Solve for x
    x = 32,065,770,792.96/203,568
  6. Step 6: Final answer
    x = 157,518.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.