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Finding the Fourth Proportional to 198,886.98, 274,416.14 and 117,218.49

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Solution

The fourth proportional to 198,886.98, 274,416.14 and 117,218.49 is: 161,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,886.98 : 274,416.14 = 117,218.49 : x
  2. Step 2: Convert to fraction form
    198,886.98/274,416.14 = 117,218.49/x
  3. Step 3: Cross multiply
    198,886.98x = 274,416.14 × 117,218.49
  4. Step 4: Simplify right side
    198,886.98x = 32,166,644,976.34
  5. Step 5: Solve for x
    x = 32,166,644,976.34/198,886.98
  6. Step 6: Final answer
    x = 161,733.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.