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Finding the Fourth Proportional to 203,493.64, 280,821.24 and 112,863.46

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Solution

The fourth proportional to 203,493.64, 280,821.24 and 112,863.46 is: 155,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493.64 : 280,821.24 = 112,863.46 : x
  2. Step 2: Convert to fraction form
    203,493.64/280,821.24 = 112,863.46/x
  3. Step 3: Cross multiply
    203,493.64x = 280,821.24 × 112,863.46
  4. Step 4: Simplify right side
    203,493.64x = 31,694,456,787.89
  5. Step 5: Solve for x
    x = 31,694,456,787.89/203,493.64
  6. Step 6: Final answer
    x = 155,751.58

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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.