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Finding the Fourth Proportional to 201,899.90, 278,634.26 and 111,255.82

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Solution

The fourth proportional to 201,899.90, 278,634.26 and 111,255.82 is: 153,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899.90 : 278,634.26 = 111,255.82 : x
  2. Step 2: Convert to fraction form
    201,899.90/278,634.26 = 111,255.82/x
  3. Step 3: Cross multiply
    201,899.90x = 278,634.26 × 111,255.82
  4. Step 4: Simplify right side
    201,899.90x = 30,999,683,076.39
  5. Step 5: Solve for x
    x = 30,999,683,076.39/201,899.90
  6. Step 6: Final answer
    x = 153,539.86

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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.