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Finding the Fourth Proportional to 266,786.64, 400,180.64 and 109,015.07

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Solution

The fourth proportional to 266,786.64, 400,180.64 and 109,015.07 is: 163,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,786.64 : 400,180.64 = 109,015.07 : x
  2. Step 2: Convert to fraction form
    266,786.64/400,180.64 = 109,015.07/x
  3. Step 3: Cross multiply
    266,786.64x = 400,180.64 × 109,015.07
  4. Step 4: Simplify right side
    266,786.64x = 43,625,717,936.27
  5. Step 5: Solve for x
    x = 43,625,717,936.27/266,786.64
  6. Step 6: Final answer
    x = 163,522.87

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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.