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Finding the Fourth Proportional to 200,440.96, 300,400.32 and 111,690.88

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Solution

The fourth proportional to 200,440.96, 300,400.32 and 111,690.88 is: 167,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,440.96 : 300,400.32 = 111,690.88 : x
  2. Step 2: Convert to fraction form
    200,440.96/300,400.32 = 111,690.88/x
  3. Step 3: Cross multiply
    200,440.96x = 300,400.32 × 111,690.88
  4. Step 4: Simplify right side
    200,440.96x = 33,551,976,093.08
  5. Step 5: Solve for x
    x = 33,551,976,093.08/200,440.96
  6. Step 6: Final answer
    x = 167,390.82

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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.