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Finding the Fourth Proportional to 203,573.30, 280,932.84 and 112,935.20

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Solution

The fourth proportional to 203,573.30, 280,932.84 and 112,935.20 is: 155,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,573.30 : 280,932.84 = 112,935.20 : x
  2. Step 2: Convert to fraction form
    203,573.30/280,932.84 = 112,935.20/x
  3. Step 3: Cross multiply
    203,573.30x = 280,932.84 × 112,935.20
  4. Step 4: Simplify right side
    203,573.30x = 31,727,206,471.97
  5. Step 5: Solve for x
    x = 31,727,206,471.97/203,573.30
  6. Step 6: Final answer
    x = 155,851.51

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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.