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Finding the Fourth Proportional to 201,791, 301,939.16 and 126,309.80

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Solution

The fourth proportional to 201,791, 301,939.16 and 126,309.80 is: 188,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,791 : 301,939.16 = 126,309.80 : x
  2. Step 2: Convert to fraction form
    201,791/301,939.16 = 126,309.80/x
  3. Step 3: Cross multiply
    201,791x = 301,939.16 × 126,309.80
  4. Step 4: Simplify right side
    201,791x = 38,137,874,911.77
  5. Step 5: Solve for x
    x = 38,137,874,911.77/201,791
  6. Step 6: Final answer
    x = 188,996.91

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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.