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Finding the Fourth Proportional to 100,378.31, 150,529.19 and 33,800.56

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Solution

The fourth proportional to 100,378.31, 150,529.19 and 33,800.56 is: 50,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.31 : 150,529.19 = 33,800.56 : x
  2. Step 2: Convert to fraction form
    100,378.31/150,529.19 = 33,800.56/x
  3. Step 3: Cross multiply
    100,378.31x = 150,529.19 × 33,800.56
  4. Step 4: Simplify right side
    100,378.31x = 5,087,970,373.02
  5. Step 5: Solve for x
    x = 5,087,970,373.02/100,378.31
  6. Step 6: Final answer
    x = 50,687.95

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1.5x scale

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.