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Finding the Fourth Proportional to 100,309.86, 150,489.90 and 70,785.36

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Solution

The fourth proportional to 100,309.86, 150,489.90 and 70,785.36 is: 106,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,309.86 : 150,489.90 = 70,785.36 : x
  2. Step 2: Convert to fraction form
    100,309.86/150,489.90 = 70,785.36/x
  3. Step 3: Cross multiply
    100,309.86x = 150,489.90 × 70,785.36
  4. Step 4: Simplify right side
    100,309.86x = 10,652,481,747.86
  5. Step 5: Solve for x
    x = 10,652,481,747.86/100,309.86
  6. Step 6: Final answer
    x = 106,195.76

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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.