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Finding the Fourth Proportional to 198,808.93, 298,100.43 and 135,705.45

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Solution

The fourth proportional to 198,808.93, 298,100.43 and 135,705.45 is: 203,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,808.93 : 298,100.43 = 135,705.45 : x
  2. Step 2: Convert to fraction form
    198,808.93/298,100.43 = 135,705.45/x
  3. Step 3: Cross multiply
    198,808.93x = 298,100.43 × 135,705.45
  4. Step 4: Simplify right side
    198,808.93x = 40,453,852,998.34
  5. Step 5: Solve for x
    x = 40,453,852,998.34/198,808.93
  6. Step 6: Final answer
    x = 203,481.07

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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.