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Finding the Fourth Proportional to 63,786, 95,694.36 and 20,010

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Solution

The fourth proportional to 63,786, 95,694.36 and 20,010 is: 30,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,786 : 95,694.36 = 20,010 : x
  2. Step 2: Convert to fraction form
    63,786/95,694.36 = 20,010/x
  3. Step 3: Cross multiply
    63,786x = 95,694.36 × 20,010
  4. Step 4: Simplify right side
    63,786x = 1,914,844,143.60
  5. Step 5: Solve for x
    x = 1,914,844,143.60/63,786
  6. Step 6: Final answer
    x = 30,019.82

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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.