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Finding the Fourth Proportional to 198,884.82, 298,054.52 and 105,203.46

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Solution

The fourth proportional to 198,884.82, 298,054.52 and 105,203.46 is: 157,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,884.82 : 298,054.52 = 105,203.46 : x
  2. Step 2: Convert to fraction form
    198,884.82/298,054.52 = 105,203.46/x
  3. Step 3: Cross multiply
    198,884.82x = 298,054.52 × 105,203.46
  4. Step 4: Simplify right side
    198,884.82x = 31,356,366,772.64
  5. Step 5: Solve for x
    x = 31,356,366,772.64/198,884.82
  6. Step 6: Final answer
    x = 157,660.94

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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.