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Finding the Fourth Proportional to 203,689.94, 280,896.84 and 122,005.14

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Solution

The fourth proportional to 203,689.94, 280,896.84 and 122,005.14 is: 168,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,689.94 : 280,896.84 = 122,005.14 : x
  2. Step 2: Convert to fraction form
    203,689.94/280,896.84 = 122,005.14/x
  3. Step 3: Cross multiply
    203,689.94x = 280,896.84 × 122,005.14
  4. Step 4: Simplify right side
    203,689.94x = 34,270,857,236.39
  5. Step 5: Solve for x
    x = 34,270,857,236.39/203,689.94
  6. Step 6: Final answer
    x = 168,250.13

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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.