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Finding the Fourth Proportional to 110,872.20, 166,308.30 and 77,629.80

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Solution

The fourth proportional to 110,872.20, 166,308.30 and 77,629.80 is: 116,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,872.20 : 166,308.30 = 77,629.80 : x
  2. Step 2: Convert to fraction form
    110,872.20/166,308.30 = 77,629.80/x
  3. Step 3: Cross multiply
    110,872.20x = 166,308.30 × 77,629.80
  4. Step 4: Simplify right side
    110,872.20x = 12,910,480,067.34
  5. Step 5: Solve for x
    x = 12,910,480,067.34/110,872.20
  6. Step 6: Final answer
    x = 116,444.70

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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.