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Finding the Fourth Proportional to 80,906.78, 121,360.05 and 21,742.45

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Solution

The fourth proportional to 80,906.78, 121,360.05 and 21,742.45 is: 32,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,906.78 : 121,360.05 = 21,742.45 : x
  2. Step 2: Convert to fraction form
    80,906.78/121,360.05 = 21,742.45/x
  3. Step 3: Cross multiply
    80,906.78x = 121,360.05 × 21,742.45
  4. Step 4: Simplify right side
    80,906.78x = 2,638,664,212.32
  5. Step 5: Solve for x
    x = 2,638,664,212.32/80,906.78
  6. Step 6: Final answer
    x = 32,613.64

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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.