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Finding the Fourth Proportional to 100,591.81, 150,811.49 and 50,011.49

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Solution

The fourth proportional to 100,591.81, 150,811.49 and 50,011.49 is: 74,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591.81 : 150,811.49 = 50,011.49 : x
  2. Step 2: Convert to fraction form
    100,591.81/150,811.49 = 50,011.49/x
  3. Step 3: Cross multiply
    100,591.81x = 150,811.49 × 50,011.49
  4. Step 4: Simplify right side
    100,591.81x = 7,542,307,826.08
  5. Step 5: Solve for x
    x = 7,542,307,826.08/100,591.81
  6. Step 6: Final answer
    x = 74,979.34

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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.