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Finding the Fourth Proportional to 171,131.68, 256,483.50 and 82,361.44

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Solution

The fourth proportional to 171,131.68, 256,483.50 and 82,361.44 is: 123,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,131.68 : 256,483.50 = 82,361.44 : x
  2. Step 2: Convert to fraction form
    171,131.68/256,483.50 = 82,361.44/x
  3. Step 3: Cross multiply
    171,131.68x = 256,483.50 × 82,361.44
  4. Step 4: Simplify right side
    171,131.68x = 21,124,350,396.24
  5. Step 5: Solve for x
    x = 21,124,350,396.24/171,131.68
  6. Step 6: Final answer
    x = 123,439.16

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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.