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Finding the Fourth Proportional to 100,505.13, 150,761.03 and 50,558.01

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Solution

The fourth proportional to 100,505.13, 150,761.03 and 50,558.01 is: 75,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,505.13 : 150,761.03 = 50,558.01 : x
  2. Step 2: Convert to fraction form
    100,505.13/150,761.03 = 50,558.01/x
  3. Step 3: Cross multiply
    100,505.13x = 150,761.03 × 50,558.01
  4. Step 4: Simplify right side
    100,505.13x = 7,622,177,409.56
  5. Step 5: Solve for x
    x = 7,622,177,409.56/100,505.13
  6. Step 6: Final answer
    x = 75,838.69

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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.