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Finding the Fourth Proportional to 203,274.24, 280,512 and 112,634.88

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Solution

The fourth proportional to 203,274.24, 280,512 and 112,634.88 is: 155,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,274.24 : 280,512 = 112,634.88 : x
  2. Step 2: Convert to fraction form
    203,274.24/280,512 = 112,634.88/x
  3. Step 3: Cross multiply
    203,274.24x = 280,512 × 112,634.88
  4. Step 4: Simplify right side
    203,274.24x = 31,595,435,458.56
  5. Step 5: Solve for x
    x = 31,595,435,458.56/203,274.24
  6. Step 6: Final answer
    x = 155,432.56

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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.