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Finding the Fourth Proportional to 198,968, 274,633.60 and 118,451.84

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Solution

The fourth proportional to 198,968, 274,633.60 and 118,451.84 is: 163,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,968 : 274,633.60 = 118,451.84 : x
  2. Step 2: Convert to fraction form
    198,968/274,633.60 = 118,451.84/x
  3. Step 3: Cross multiply
    198,968x = 274,633.60 × 118,451.84
  4. Step 4: Simplify right side
    198,968x = 32,530,855,245.82
  5. Step 5: Solve for x
    x = 32,530,855,245.82/198,968
  6. Step 6: Final answer
    x = 163,497.93

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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.