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Finding the Fourth Proportional to 136,940.22, 205,443.54 and 43,446.78

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Solution

The fourth proportional to 136,940.22, 205,443.54 and 43,446.78 is: 65,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,940.22 : 205,443.54 = 43,446.78 : x
  2. Step 2: Convert to fraction form
    136,940.22/205,443.54 = 43,446.78/x
  3. Step 3: Cross multiply
    136,940.22x = 205,443.54 × 43,446.78
  4. Step 4: Simplify right side
    136,940.22x = 8,925,860,284.80
  5. Step 5: Solve for x
    x = 8,925,860,284.80/136,940.22
  6. Step 6: Final answer
    x = 65,180.71

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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.