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Finding the Fourth Proportional to 103,120.20, 154,696.32 and 43,956

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Solution

The fourth proportional to 103,120.20, 154,696.32 and 43,956 is: 65,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,120.20 : 154,696.32 = 43,956 : x
  2. Step 2: Convert to fraction form
    103,120.20/154,696.32 = 43,956/x
  3. Step 3: Cross multiply
    103,120.20x = 154,696.32 × 43,956
  4. Step 4: Simplify right side
    103,120.20x = 6,799,831,441.92
  5. Step 5: Solve for x
    x = 6,799,831,441.92/103,120.20
  6. Step 6: Final answer
    x = 65,940.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.