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Finding the Fourth Proportional to 270,649.96, 405,860.49 and 81,137.30

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Solution

The fourth proportional to 270,649.96, 405,860.49 and 81,137.30 is: 121,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,649.96 : 405,860.49 = 81,137.30 : x
  2. Step 2: Convert to fraction form
    270,649.96/405,860.49 = 81,137.30/x
  3. Step 3: Cross multiply
    270,649.96x = 405,860.49 × 81,137.30
  4. Step 4: Simplify right side
    270,649.96x = 32,930,422,305.97
  5. Step 5: Solve for x
    x = 32,930,422,305.97/270,649.96
  6. Step 6: Final answer
    x = 121,671.63

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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.