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Finding the Fourth Proportional to 198,993.82, 274,605.15 and 118,402.90

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Solution

The fourth proportional to 198,993.82, 274,605.15 and 118,402.90 is: 163,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,993.82 : 274,605.15 = 118,402.90 : x
  2. Step 2: Convert to fraction form
    198,993.82/274,605.15 = 118,402.90/x
  3. Step 3: Cross multiply
    198,993.82x = 274,605.15 × 118,402.90
  4. Step 4: Simplify right side
    198,993.82x = 32,514,046,114.94
  5. Step 5: Solve for x
    x = 32,514,046,114.94/198,993.82
  6. Step 6: Final answer
    x = 163,392.24

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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.