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Finding the Fourth Proportional to 201,150.36, 301,725.56 and 51,391

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Solution

The fourth proportional to 201,150.36, 301,725.56 and 51,391 is: 77,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,150.36 : 301,725.56 = 51,391 : x
  2. Step 2: Convert to fraction form
    201,150.36/301,725.56 = 51,391/x
  3. Step 3: Cross multiply
    201,150.36x = 301,725.56 × 51,391
  4. Step 4: Simplify right side
    201,150.36x = 15,505,978,253.96
  5. Step 5: Solve for x
    x = 15,505,978,253.96/201,150.36
  6. Step 6: Final answer
    x = 77,086.51

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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.