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Finding the Fourth Proportional to 198,790.22, 298,281.11 and 98,959.20

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Solution

The fourth proportional to 198,790.22, 298,281.11 and 98,959.20 is: 148,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,790.22 : 298,281.11 = 98,959.20 : x
  2. Step 2: Convert to fraction form
    198,790.22/298,281.11 = 98,959.20/x
  3. Step 3: Cross multiply
    198,790.22x = 298,281.11 × 98,959.20
  4. Step 4: Simplify right side
    198,790.22x = 29,517,659,525.92
  5. Step 5: Solve for x
    x = 29,517,659,525.92/198,790.22
  6. Step 6: Final answer
    x = 148,486.48

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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.