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Finding the Fourth Proportional to 198,835.97, 298,221.74 and 63,893.66

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Solution

The fourth proportional to 198,835.97, 298,221.74 and 63,893.66 is: 95,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,835.97 : 298,221.74 = 63,893.66 : x
  2. Step 2: Convert to fraction form
    198,835.97/298,221.74 = 63,893.66/x
  3. Step 3: Cross multiply
    198,835.97x = 298,221.74 × 63,893.66
  4. Step 4: Simplify right side
    198,835.97x = 19,054,478,140.70
  5. Step 5: Solve for x
    x = 19,054,478,140.70/198,835.97
  6. Step 6: Final answer
    x = 95,830.14

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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.