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Finding the Fourth Proportional to 198,647.70, 274,071.81 and 113,749.14

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Solution

The fourth proportional to 198,647.70, 274,071.81 and 113,749.14 is: 156,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,647.70 : 274,071.81 = 113,749.14 : x
  2. Step 2: Convert to fraction form
    198,647.70/274,071.81 = 113,749.14/x
  3. Step 3: Cross multiply
    198,647.70x = 274,071.81 × 113,749.14
  4. Step 4: Simplify right side
    198,647.70x = 31,175,432,685.74
  5. Step 5: Solve for x
    x = 31,175,432,685.74/198,647.70
  6. Step 6: Final answer
    x = 156,938.30

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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.