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Finding the Fourth Proportional to 281,324.91, 421,974.39 and 81,641.28

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Solution

The fourth proportional to 281,324.91, 421,974.39 and 81,641.28 is: 122,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324.91 : 421,974.39 = 81,641.28 : x
  2. Step 2: Convert to fraction form
    281,324.91/421,974.39 = 81,641.28/x
  3. Step 3: Cross multiply
    281,324.91x = 421,974.39 × 81,641.28
  4. Step 4: Simplify right side
    281,324.91x = 34,450,529,326.82
  5. Step 5: Solve for x
    x = 34,450,529,326.82/281,324.91
  6. Step 6: Final answer
    x = 122,458.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.