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Finding the Fourth Proportional to 110,726.88, 166,086 and 31,840.80

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Solution

The fourth proportional to 110,726.88, 166,086 and 31,840.80 is: 47,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,726.88 : 166,086 = 31,840.80 : x
  2. Step 2: Convert to fraction form
    110,726.88/166,086 = 31,840.80/x
  3. Step 3: Cross multiply
    110,726.88x = 166,086 × 31,840.80
  4. Step 4: Simplify right side
    110,726.88x = 5,288,311,108.80
  5. Step 5: Solve for x
    x = 5,288,311,108.80/110,726.88
  6. Step 6: Final answer
    x = 47,759.96

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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.