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Finding the Fourth Proportional to 203,604.89, 280,965.27 and 112,959.89

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Solution

The fourth proportional to 203,604.89, 280,965.27 and 112,959.89 is: 155,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,604.89 : 280,965.27 = 112,959.89 : x
  2. Step 2: Convert to fraction form
    203,604.89/280,965.27 = 112,959.89/x
  3. Step 3: Cross multiply
    203,604.89x = 280,965.27 × 112,959.89
  4. Step 4: Simplify right side
    203,604.89x = 31,737,805,993.02
  5. Step 5: Solve for x
    x = 31,737,805,993.02/203,604.89
  6. Step 6: Final answer
    x = 155,879.39

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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.