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Finding the Fourth Proportional to 281,136.30, 421,704.47 and 81,456.82

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Solution

The fourth proportional to 281,136.30, 421,704.47 and 81,456.82 is: 122,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,136.30 : 421,704.47 = 81,456.82 : x
  2. Step 2: Convert to fraction form
    281,136.30/421,704.47 = 81,456.82/x
  3. Step 3: Cross multiply
    281,136.30x = 421,704.47 × 81,456.82
  4. Step 4: Simplify right side
    281,136.30x = 34,350,703,644.44
  5. Step 5: Solve for x
    x = 34,350,703,644.44/281,136.30
  6. Step 6: Final answer
    x = 122,185.23

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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.