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Finding the Fourth Proportional to 201,991.21, 278,735.35 and 111,342.49

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Solution

The fourth proportional to 201,991.21, 278,735.35 and 111,342.49 is: 153,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991.21 : 278,735.35 = 111,342.49 : x
  2. Step 2: Convert to fraction form
    201,991.21/278,735.35 = 111,342.49/x
  3. Step 3: Cross multiply
    201,991.21x = 278,735.35 × 111,342.49
  4. Step 4: Simplify right side
    201,991.21x = 31,035,087,920.02
  5. Step 5: Solve for x
    x = 31,035,087,920.02/201,991.21
  6. Step 6: Final answer
    x = 153,645.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.