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Finding the Fourth Proportional to 198,959.58, 298,460.70 and 85,119.21

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Solution

The fourth proportional to 198,959.58, 298,460.70 and 85,119.21 is: 127,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,959.58 : 298,460.70 = 85,119.21 : x
  2. Step 2: Convert to fraction form
    198,959.58/298,460.70 = 85,119.21/x
  3. Step 3: Cross multiply
    198,959.58x = 298,460.70 × 85,119.21
  4. Step 4: Simplify right side
    198,959.58x = 25,404,739,000.05
  5. Step 5: Solve for x
    x = 25,404,739,000.05/198,959.58
  6. Step 6: Final answer
    x = 127,687.94

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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.