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Finding the Fourth Proportional to 198,998.64, 298,185.30 and 138,967.92

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Solution

The fourth proportional to 198,998.64, 298,185.30 and 138,967.92 is: 208,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,998.64 : 298,185.30 = 138,967.92 : x
  2. Step 2: Convert to fraction form
    198,998.64/298,185.30 = 138,967.92/x
  3. Step 3: Cross multiply
    198,998.64x = 298,185.30 × 138,967.92
  4. Step 4: Simplify right side
    198,998.64x = 41,438,190,915.58
  5. Step 5: Solve for x
    x = 41,438,190,915.58/198,998.64
  6. Step 6: Final answer
    x = 208,233.54

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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.