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Finding the Fourth Proportional to 198,998.92, 298,602.06 and 88,165

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Solution

The fourth proportional to 198,998.92, 298,602.06 and 88,165 is: 132,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,998.92 : 298,602.06 = 88,165 : x
  2. Step 2: Convert to fraction form
    198,998.92/298,602.06 = 88,165/x
  3. Step 3: Cross multiply
    198,998.92x = 298,602.06 × 88,165
  4. Step 4: Simplify right side
    198,998.92x = 26,326,250,619.90
  5. Step 5: Solve for x
    x = 26,326,250,619.90/198,998.92
  6. Step 6: Final answer
    x = 132,293.43

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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.