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Finding the Fourth Proportional to 171,422.89, 257,300.19 and 82,738.84

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Solution

The fourth proportional to 171,422.89, 257,300.19 and 82,738.84 is: 124,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,422.89 : 257,300.19 = 82,738.84 : x
  2. Step 2: Convert to fraction form
    171,422.89/257,300.19 = 82,738.84/x
  3. Step 3: Cross multiply
    171,422.89x = 257,300.19 × 82,738.84
  4. Step 4: Simplify right side
    171,422.89x = 21,288,719,252.38
  5. Step 5: Solve for x
    x = 21,288,719,252.38/171,422.89
  6. Step 6: Final answer
    x = 124,188.31

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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.