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Finding the Fourth Proportional to 110,691.60, 166,037.40 and 31,801.20

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Solution

The fourth proportional to 110,691.60, 166,037.40 and 31,801.20 is: 47,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,691.60 : 166,037.40 = 31,801.20 : x
  2. Step 2: Convert to fraction form
    110,691.60/166,037.40 = 31,801.20/x
  3. Step 3: Cross multiply
    110,691.60x = 166,037.40 × 31,801.20
  4. Step 4: Simplify right side
    110,691.60x = 5,280,188,564.88
  5. Step 5: Solve for x
    x = 5,280,188,564.88/110,691.60
  6. Step 6: Final answer
    x = 47,701.80

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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.