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Finding the Fourth Proportional to 66,786.57, 100,164.12 and 19,389.15

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Solution

The fourth proportional to 66,786.57, 100,164.12 and 19,389.15 is: 29,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786.57 : 100,164.12 = 19,389.15 : x
  2. Step 2: Convert to fraction form
    66,786.57/100,164.12 = 19,389.15/x
  3. Step 3: Cross multiply
    66,786.57x = 100,164.12 × 19,389.15
  4. Step 4: Simplify right side
    66,786.57x = 1,942,097,147.30
  5. Step 5: Solve for x
    x = 1,942,097,147.30/66,786.57
  6. Step 6: Final answer
    x = 29,079.16

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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.