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Finding the Fourth Proportional to 171,698.32, 257,321.44 and 82,789.44

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Solution

The fourth proportional to 171,698.32, 257,321.44 and 82,789.44 is: 124,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,698.32 : 257,321.44 = 82,789.44 : x
  2. Step 2: Convert to fraction form
    171,698.32/257,321.44 = 82,789.44/x
  3. Step 3: Cross multiply
    171,698.32x = 257,321.44 × 82,789.44
  4. Step 4: Simplify right side
    171,698.32x = 21,303,497,917.59
  5. Step 5: Solve for x
    x = 21,303,497,917.59/171,698.32
  6. Step 6: Final answer
    x = 124,075.17

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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.