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Finding the Fourth Proportional to 202,872.88, 279,959.52 and 112,233.88

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Solution

The fourth proportional to 202,872.88, 279,959.52 and 112,233.88 is: 154,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872.88 : 279,959.52 = 112,233.88 : x
  2. Step 2: Convert to fraction form
    202,872.88/279,959.52 = 112,233.88/x
  3. Step 3: Cross multiply
    202,872.88x = 279,959.52 × 112,233.88
  4. Step 4: Simplify right side
    202,872.88x = 31,420,943,172.54
  5. Step 5: Solve for x
    x = 31,420,943,172.54/202,872.88
  6. Step 6: Final answer
    x = 154,879.96

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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.