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Finding the Fourth Proportional to 198,775, 298,164.08 and 72,505.72

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Solution

The fourth proportional to 198,775, 298,164.08 and 72,505.72 is: 108,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,775 : 298,164.08 = 72,505.72 : x
  2. Step 2: Convert to fraction form
    198,775/298,164.08 = 72,505.72/x
  3. Step 3: Cross multiply
    198,775x = 298,164.08 × 72,505.72
  4. Step 4: Simplify right side
    198,775x = 21,618,601,298.54
  5. Step 5: Solve for x
    x = 21,618,601,298.54/198,775
  6. Step 6: Final answer
    x = 108,759.16

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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.