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Finding the Fourth Proportional to 171,507.88, 257,124.43 and 81,505.43

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Solution

The fourth proportional to 171,507.88, 257,124.43 and 81,505.43 is: 122,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,507.88 : 257,124.43 = 81,505.43 : x
  2. Step 2: Convert to fraction form
    171,507.88/257,124.43 = 81,505.43/x
  3. Step 3: Cross multiply
    171,507.88x = 257,124.43 × 81,505.43
  4. Step 4: Simplify right side
    171,507.88x = 20,957,037,230.65
  5. Step 5: Solve for x
    x = 20,957,037,230.65/171,507.88
  6. Step 6: Final answer
    x = 122,192.85

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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.