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Finding the Fourth Proportional to 198,654, 298,168.26 and 72,416.25

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Solution

The fourth proportional to 198,654, 298,168.26 and 72,416.25 is: 108,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654 : 298,168.26 = 72,416.25 : x
  2. Step 2: Convert to fraction form
    198,654/298,168.26 = 72,416.25/x
  3. Step 3: Cross multiply
    198,654x = 298,168.26 × 72,416.25
  4. Step 4: Simplify right side
    198,654x = 21,592,227,258.23
  5. Step 5: Solve for x
    x = 21,592,227,258.23/198,654
  6. Step 6: Final answer
    x = 108,692.64

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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.