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Finding the Fourth Proportional to 266,100, 367,218 and 181,365.09

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Solution

The fourth proportional to 266,100, 367,218 and 181,365.09 is: 250,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,100 : 367,218 = 181,365.09 : x
  2. Step 2: Convert to fraction form
    266,100/367,218 = 181,365.09/x
  3. Step 3: Cross multiply
    266,100x = 367,218 × 181,365.09
  4. Step 4: Simplify right side
    266,100x = 66,600,525,619.62
  5. Step 5: Solve for x
    x = 66,600,525,619.62/266,100
  6. Step 6: Final answer
    x = 250,283.82

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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.