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Finding the Fourth Proportional to 198,850.56, 298,232.64 and 65,699.28

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Solution

The fourth proportional to 198,850.56, 298,232.64 and 65,699.28 is: 98,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,850.56 : 298,232.64 = 65,699.28 : x
  2. Step 2: Convert to fraction form
    198,850.56/298,232.64 = 65,699.28/x
  3. Step 3: Cross multiply
    198,850.56x = 298,232.64 × 65,699.28
  4. Step 4: Simplify right side
    198,850.56x = 19,593,669,720.50
  5. Step 5: Solve for x
    x = 19,593,669,720.50/198,850.56
  6. Step 6: Final answer
    x = 98,534.65

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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.