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Finding the Fourth Proportional to 198,164, 273,466.32 and 108,745.76

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Solution

The fourth proportional to 198,164, 273,466.32 and 108,745.76 is: 150,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,164 : 273,466.32 = 108,745.76 : x
  2. Step 2: Convert to fraction form
    198,164/273,466.32 = 108,745.76/x
  3. Step 3: Cross multiply
    198,164x = 273,466.32 × 108,745.76
  4. Step 4: Simplify right side
    198,164x = 29,738,302,802.80
  5. Step 5: Solve for x
    x = 29,738,302,802.80/198,164
  6. Step 6: Final answer
    x = 150,069.15

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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.