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Finding the Fourth Proportional to 203,591.52, 280,955.84 and 112,961.28

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Solution

The fourth proportional to 203,591.52, 280,955.84 and 112,961.28 is: 155,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,591.52 : 280,955.84 = 112,961.28 : x
  2. Step 2: Convert to fraction form
    203,591.52/280,955.84 = 112,961.28/x
  3. Step 3: Cross multiply
    203,591.52x = 280,955.84 × 112,961.28
  4. Step 4: Simplify right side
    203,591.52x = 31,737,131,309.88
  5. Step 5: Solve for x
    x = 31,737,131,309.88/203,591.52
  6. Step 6: Final answer
    x = 155,886.31

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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.