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Finding the Fourth Proportional to 100,586.73, 150,912.86 and 47,989.41

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Solution

The fourth proportional to 100,586.73, 150,912.86 and 47,989.41 is: 71,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.73 : 150,912.86 = 47,989.41 : x
  2. Step 2: Convert to fraction form
    100,586.73/150,912.86 = 47,989.41/x
  3. Step 3: Cross multiply
    100,586.73x = 150,912.86 × 47,989.41
  4. Step 4: Simplify right side
    100,586.73x = 7,242,218,872.87
  5. Step 5: Solve for x
    x = 7,242,218,872.87/100,586.73
  6. Step 6: Final answer
    x = 71,999.74

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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.