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Finding the Fourth Proportional to 203,558.09, 280,914.66 and 112,911.10

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Solution

The fourth proportional to 203,558.09, 280,914.66 and 112,911.10 is: 155,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,558.09 : 280,914.66 = 112,911.10 : x
  2. Step 2: Convert to fraction form
    203,558.09/280,914.66 = 112,911.10/x
  3. Step 3: Cross multiply
    203,558.09x = 280,914.66 × 112,911.10
  4. Step 4: Simplify right side
    203,558.09x = 31,718,382,564.44
  5. Step 5: Solve for x
    x = 31,718,382,564.44/203,558.09
  6. Step 6: Final answer
    x = 155,819.81

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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.