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Finding the Fourth Proportional to 171,832.30, 257,857.80 and 100,754.80

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Solution

The fourth proportional to 171,832.30, 257,857.80 and 100,754.80 is: 151,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,832.30 : 257,857.80 = 100,754.80 : x
  2. Step 2: Convert to fraction form
    171,832.30/257,857.80 = 100,754.80/x
  3. Step 3: Cross multiply
    171,832.30x = 257,857.80 × 100,754.80
  4. Step 4: Simplify right side
    171,832.30x = 25,980,411,067.44
  5. Step 5: Solve for x
    x = 25,980,411,067.44/171,832.30
  6. Step 6: Final answer
    x = 151,196.32

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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.