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Finding the Fourth Proportional to 198,794.18, 298,128.06 and 65,649.62

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Solution

The fourth proportional to 198,794.18, 298,128.06 and 65,649.62 is: 98,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,794.18 : 298,128.06 = 65,649.62 : x
  2. Step 2: Convert to fraction form
    198,794.18/298,128.06 = 65,649.62/x
  3. Step 3: Cross multiply
    198,794.18x = 298,128.06 × 65,649.62
  4. Step 4: Simplify right side
    198,794.18x = 19,571,993,850.34
  5. Step 5: Solve for x
    x = 19,571,993,850.34/198,794.18
  6. Step 6: Final answer
    x = 98,453.56

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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.