Home / 198,883.82-298,053.02-105,202.46

Finding the Fourth Proportional to 198,883.82, 298,053.02 and 105,202.46

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Solution

The fourth proportional to 198,883.82, 298,053.02 and 105,202.46 is: 157,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,883.82 : 298,053.02 = 105,202.46 : x
  2. Step 2: Convert to fraction form
    198,883.82/298,053.02 = 105,202.46/x
  3. Step 3: Cross multiply
    198,883.82x = 298,053.02 × 105,202.46
  4. Step 4: Simplify right side
    198,883.82x = 31,355,910,914.43
  5. Step 5: Solve for x
    x = 31,355,910,914.43/198,883.82
  6. Step 6: Final answer
    x = 157,659.44

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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.