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Finding the Fourth Proportional to 171,954.98, 257,893.86 and 72,227.78

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Solution

The fourth proportional to 171,954.98, 257,893.86 and 72,227.78 is: 108,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,954.98 : 257,893.86 = 72,227.78 : x
  2. Step 2: Convert to fraction form
    171,954.98/257,893.86 = 72,227.78/x
  3. Step 3: Cross multiply
    171,954.98x = 257,893.86 × 72,227.78
  4. Step 4: Simplify right side
    171,954.98x = 18,627,100,983.43
  5. Step 5: Solve for x
    x = 18,627,100,983.43/171,954.98
  6. Step 6: Final answer
    x = 108,325.45

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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.