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Finding the Fourth Proportional to 198,690.94, 274,200.71 and 113,824.41

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Solution

The fourth proportional to 198,690.94, 274,200.71 and 113,824.41 is: 157,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,690.94 : 274,200.71 = 113,824.41 : x
  2. Step 2: Convert to fraction form
    198,690.94/274,200.71 = 113,824.41/x
  3. Step 3: Cross multiply
    198,690.94x = 274,200.71 × 113,824.41
  4. Step 4: Simplify right side
    198,690.94x = 31,210,733,293.64
  5. Step 5: Solve for x
    x = 31,210,733,293.64/198,690.94
  6. Step 6: Final answer
    x = 157,081.81

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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.