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Finding the Fourth Proportional to 281,192.10, 421,695.24 and 81,519

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Solution

The fourth proportional to 281,192.10, 421,695.24 and 81,519 is: 122,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,192.10 : 421,695.24 = 81,519 : x
  2. Step 2: Convert to fraction form
    281,192.10/421,695.24 = 81,519/x
  3. Step 3: Cross multiply
    281,192.10x = 421,695.24 × 81,519
  4. Step 4: Simplify right side
    281,192.10x = 34,376,174,269.56
  5. Step 5: Solve for x
    x = 34,376,174,269.56/281,192.10
  6. Step 6: Final answer
    x = 122,251.56

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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.