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Finding the Fourth Proportional to 171,406.77, 257,276 and 82,722.70

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Solution

The fourth proportional to 171,406.77, 257,276 and 82,722.70 is: 124,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406.77 : 257,276 = 82,722.70 : x
  2. Step 2: Convert to fraction form
    171,406.77/257,276 = 82,722.70/x
  3. Step 3: Cross multiply
    171,406.77x = 257,276 × 82,722.70
  4. Step 4: Simplify right side
    171,406.77x = 21,282,565,365.20
  5. Step 5: Solve for x
    x = 21,282,565,365.20/171,406.77
  6. Step 6: Final answer
    x = 124,164.09

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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.