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Finding the Fourth Proportional to 120,311.44, 165,649.36 and 105,961.12

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Solution

The fourth proportional to 120,311.44, 165,649.36 and 105,961.12 is: 145,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,311.44 : 165,649.36 = 105,961.12 : x
  2. Step 2: Convert to fraction form
    120,311.44/165,649.36 = 105,961.12/x
  3. Step 3: Cross multiply
    120,311.44x = 165,649.36 × 105,961.12
  4. Step 4: Simplify right side
    120,311.44x = 17,552,391,712.88
  5. Step 5: Solve for x
    x = 17,552,391,712.88/120,311.44
  6. Step 6: Final answer
    x = 145,891.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.