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Finding the Fourth Proportional to 171,900.45, 257,903.46 and 82,057.81

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Solution

The fourth proportional to 171,900.45, 257,903.46 and 82,057.81 is: 123,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,900.45 : 257,903.46 = 82,057.81 : x
  2. Step 2: Convert to fraction form
    171,900.45/257,903.46 = 82,057.81/x
  3. Step 3: Cross multiply
    171,900.45x = 257,903.46 × 82,057.81
  4. Step 4: Simplify right side
    171,900.45x = 21,162,992,474.26
  5. Step 5: Solve for x
    x = 21,162,992,474.26/171,900.45
  6. Step 6: Final answer
    x = 123,111.91

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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.