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Finding the Fourth Proportional to 171,315.21, 256,967.47 and 81,422.64

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Solution

The fourth proportional to 171,315.21, 256,967.47 and 81,422.64 is: 122,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,315.21 : 256,967.47 = 81,422.64 : x
  2. Step 2: Convert to fraction form
    171,315.21/256,967.47 = 81,422.64/x
  3. Step 3: Cross multiply
    171,315.21x = 256,967.47 × 81,422.64
  4. Step 4: Simplify right side
    171,315.21x = 20,922,969,903.30
  5. Step 5: Solve for x
    x = 20,922,969,903.30/171,315.21
  6. Step 6: Final answer
    x = 122,131.42

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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.