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Finding the Fourth Proportional to 203,366.63, 280,653.15 and 122,778.42

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Solution

The fourth proportional to 203,366.63, 280,653.15 and 122,778.42 is: 169,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,366.63 : 280,653.15 = 122,778.42 : x
  2. Step 2: Convert to fraction form
    203,366.63/280,653.15 = 122,778.42/x
  3. Step 3: Cross multiply
    203,366.63x = 280,653.15 × 122,778.42
  4. Step 4: Simplify right side
    203,366.63x = 34,458,149,732.99
  5. Step 5: Solve for x
    x = 34,458,149,732.99/203,366.63
  6. Step 6: Final answer
    x = 169,438.56

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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.