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Finding the Fourth Proportional to 104,691.82, 156,978.04 and 71,452.12

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Solution

The fourth proportional to 104,691.82, 156,978.04 and 71,452.12 is: 107,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,691.82 : 156,978.04 = 71,452.12 : x
  2. Step 2: Convert to fraction form
    104,691.82/156,978.04 = 71,452.12/x
  3. Step 3: Cross multiply
    104,691.82x = 156,978.04 × 71,452.12
  4. Step 4: Simplify right side
    104,691.82x = 11,216,413,751.44
  5. Step 5: Solve for x
    x = 11,216,413,751.44/104,691.82
  6. Step 6: Final answer
    x = 107,137.44

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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.