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Finding the Fourth Proportional to 150,214, 207,238.08 and 99,250.96

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Solution

The fourth proportional to 150,214, 207,238.08 and 99,250.96 is: 136,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,214 : 207,238.08 = 99,250.96 : x
  2. Step 2: Convert to fraction form
    150,214/207,238.08 = 99,250.96/x
  3. Step 3: Cross multiply
    150,214x = 207,238.08 × 99,250.96
  4. Step 4: Simplify right side
    150,214x = 20,568,578,388.56
  5. Step 5: Solve for x
    x = 20,568,578,388.56/150,214
  6. Step 6: Final answer
    x = 136,928.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.