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Finding the Fourth Proportional to 203,561.09, 280,918.80 and 112,914.11

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Solution

The fourth proportional to 203,561.09, 280,918.80 and 112,914.11 is: 155,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,561.09 : 280,918.80 = 112,914.11 : x
  2. Step 2: Convert to fraction form
    203,561.09/280,918.80 = 112,914.11/x
  3. Step 3: Cross multiply
    203,561.09x = 280,918.80 × 112,914.11
  4. Step 4: Simplify right side
    203,561.09x = 31,719,694,879.67
  5. Step 5: Solve for x
    x = 31,719,694,879.67/203,561.09
  6. Step 6: Final answer
    x = 155,823.96

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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.