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Finding the Fourth Proportional to 171,990.75, 257,997.50 and 45,629.22

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Solution

The fourth proportional to 171,990.75, 257,997.50 and 45,629.22 is: 68,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,990.75 : 257,997.50 = 45,629.22 : x
  2. Step 2: Convert to fraction form
    171,990.75/257,997.50 = 45,629.22/x
  3. Step 3: Cross multiply
    171,990.75x = 257,997.50 × 45,629.22
  4. Step 4: Simplify right side
    171,990.75x = 11,772,224,686.95
  5. Step 5: Solve for x
    x = 11,772,224,686.95/171,990.75
  6. Step 6: Final answer
    x = 68,446.85

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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.