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Finding the Fourth Proportional to 201,902.26, 278,637.31 and 111,258.07

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Solution

The fourth proportional to 201,902.26, 278,637.31 and 111,258.07 is: 153,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.26 : 278,637.31 = 111,258.07 : x
  2. Step 2: Convert to fraction form
    201,902.26/278,637.31 = 111,258.07/x
  3. Step 3: Cross multiply
    201,902.26x = 278,637.31 × 111,258.07
  4. Step 4: Simplify right side
    201,902.26x = 31,000,647,947.41
  5. Step 5: Solve for x
    x = 31,000,647,947.41/201,902.26
  6. Step 6: Final answer
    x = 153,542.85

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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.