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Finding the Fourth Proportional to 203,597.30, 280,965.97 and 112,959.21

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Solution

The fourth proportional to 203,597.30, 280,965.97 and 112,959.21 is: 155,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,597.30 : 280,965.97 = 112,959.21 : x
  2. Step 2: Convert to fraction form
    203,597.30/280,965.97 = 112,959.21/x
  3. Step 3: Cross multiply
    203,597.30x = 280,965.97 × 112,959.21
  4. Step 4: Simplify right side
    203,597.30x = 31,737,694,008.08
  5. Step 5: Solve for x
    x = 31,737,694,008.08/203,597.30
  6. Step 6: Final answer
    x = 155,884.65

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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.