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Finding the Fourth Proportional to 198,690.63, 274,200.29 and 113,824.10

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Solution

The fourth proportional to 198,690.63, 274,200.29 and 113,824.10 is: 157,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,690.63 : 274,200.29 = 113,824.10 : x
  2. Step 2: Convert to fraction form
    198,690.63/274,200.29 = 113,824.10/x
  3. Step 3: Cross multiply
    198,690.63x = 274,200.29 × 113,824.10
  4. Step 4: Simplify right side
    198,690.63x = 31,210,599,288.87
  5. Step 5: Solve for x
    x = 31,210,599,288.87/198,690.63
  6. Step 6: Final answer
    x = 157,081.38

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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.