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Finding the Fourth Proportional to 198,771.76, 274,312.74 and 113,905.63

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Solution

The fourth proportional to 198,771.76, 274,312.74 and 113,905.63 is: 157,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,771.76 : 274,312.74 = 113,905.63 : x
  2. Step 2: Convert to fraction form
    198,771.76/274,312.74 = 113,905.63/x
  3. Step 3: Cross multiply
    198,771.76x = 274,312.74 × 113,905.63
  4. Step 4: Simplify right side
    198,771.76x = 31,245,765,466.73
  5. Step 5: Solve for x
    x = 31,245,765,466.73/198,771.76
  6. Step 6: Final answer
    x = 157,194.19

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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.