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Finding the Fourth Proportional to 150,342, 207,472.37 and 83,274

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Solution

The fourth proportional to 150,342, 207,472.37 and 83,274 is: 114,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342 : 207,472.37 = 83,274 : x
  2. Step 2: Convert to fraction form
    150,342/207,472.37 = 83,274/x
  3. Step 3: Cross multiply
    150,342x = 207,472.37 × 83,274
  4. Step 4: Simplify right side
    150,342x = 17,277,053,723.01
  5. Step 5: Solve for x
    x = 17,277,053,723.01/150,342
  6. Step 6: Final answer
    x = 114,918.34

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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.