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Finding the Fourth Proportional to 102,912.94, 154,443.21 and 43,790.14

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Solution

The fourth proportional to 102,912.94, 154,443.21 and 43,790.14 is: 65,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.94 : 154,443.21 = 43,790.14 : x
  2. Step 2: Convert to fraction form
    102,912.94/154,443.21 = 43,790.14/x
  3. Step 3: Cross multiply
    102,912.94x = 154,443.21 × 43,790.14
  4. Step 4: Simplify right side
    102,912.94x = 6,763,089,787.95
  5. Step 5: Solve for x
    x = 6,763,089,787.95/102,912.94
  6. Step 6: Final answer
    x = 65,716.61

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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.