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Finding the Fourth Proportional to 203,091.78, 280,178.43 and 122,474.51

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Solution

The fourth proportional to 203,091.78, 280,178.43 and 122,474.51 is: 168,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,091.78 : 280,178.43 = 122,474.51 : x
  2. Step 2: Convert to fraction form
    203,091.78/280,178.43 = 122,474.51/x
  3. Step 3: Cross multiply
    203,091.78x = 280,178.43 × 122,474.51
  4. Step 4: Simplify right side
    203,091.78x = 34,314,715,117.32
  5. Step 5: Solve for x
    x = 34,314,715,117.32/203,091.78
  6. Step 6: Final answer
    x = 168,961.61

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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.