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Finding the Fourth Proportional to 201,081.51, 301,622.09 and 51,321.83

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Solution

The fourth proportional to 201,081.51, 301,622.09 and 51,321.83 is: 76,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,081.51 : 301,622.09 = 51,321.83 : x
  2. Step 2: Convert to fraction form
    201,081.51/301,622.09 = 51,321.83/x
  3. Step 3: Cross multiply
    201,081.51x = 301,622.09 × 51,321.83
  4. Step 4: Simplify right side
    201,081.51x = 15,479,795,862.51
  5. Step 5: Solve for x
    x = 15,479,795,862.51/201,081.51
  6. Step 6: Final answer
    x = 76,982.69

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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.