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Finding the Fourth Proportional to 100,206.74, 150,383.01 and 80,720.57

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Solution

The fourth proportional to 100,206.74, 150,383.01 and 80,720.57 is: 121,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.74 : 150,383.01 = 80,720.57 : x
  2. Step 2: Convert to fraction form
    100,206.74/150,383.01 = 80,720.57/x
  3. Step 3: Cross multiply
    100,206.74x = 150,383.01 × 80,720.57
  4. Step 4: Simplify right side
    100,206.74x = 12,139,002,285.52
  5. Step 5: Solve for x
    x = 12,139,002,285.52/100,206.74
  6. Step 6: Final answer
    x = 121,139.58

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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.