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Finding the Fourth Proportional to 198,735.40, 298,102.80 and 80,407.66

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Solution

The fourth proportional to 198,735.40, 298,102.80 and 80,407.66 is: 120,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,735.40 : 298,102.80 = 80,407.66 : x
  2. Step 2: Convert to fraction form
    198,735.40/298,102.80 = 80,407.66/x
  3. Step 3: Cross multiply
    198,735.40x = 298,102.80 × 80,407.66
  4. Step 4: Simplify right side
    198,735.40x = 23,969,748,587.45
  5. Step 5: Solve for x
    x = 23,969,748,587.45/198,735.40
  6. Step 6: Final answer
    x = 120,611.37

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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.