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Finding the Fourth Proportional to 150,674, 207,936.64 and 83,606

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Solution

The fourth proportional to 150,674, 207,936.64 and 83,606 is: 115,379.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,674 : 207,936.64 = 83,606 : x
  2. Step 2: Convert to fraction form
    150,674/207,936.64 = 83,606/x
  3. Step 3: Cross multiply
    150,674x = 207,936.64 × 83,606
  4. Step 4: Simplify right side
    150,674x = 17,384,750,723.84
  5. Step 5: Solve for x
    x = 17,384,750,723.84/150,674
  6. Step 6: Final answer
    x = 115,379.90

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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.