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Finding the Fourth Proportional to 201,001.87, 301,110.81 and 111,987.31

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Solution

The fourth proportional to 201,001.87, 301,110.81 and 111,987.31 is: 167,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,001.87 : 301,110.81 = 111,987.31 : x
  2. Step 2: Convert to fraction form
    201,001.87/301,110.81 = 111,987.31/x
  3. Step 3: Cross multiply
    201,001.87x = 301,110.81 × 111,987.31
  4. Step 4: Simplify right side
    201,001.87x = 33,720,589,623.82
  5. Step 5: Solve for x
    x = 33,720,589,623.82/201,001.87
  6. Step 6: Final answer
    x = 167,762.57

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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.