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Finding the Fourth Proportional to 201,940.20, 278,664.90 and 111,291.12

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Solution

The fourth proportional to 201,940.20, 278,664.90 and 111,291.12 is: 153,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,940.20 : 278,664.90 = 111,291.12 : x
  2. Step 2: Convert to fraction form
    201,940.20/278,664.90 = 111,291.12/x
  3. Step 3: Cross multiply
    201,940.20x = 278,664.90 × 111,291.12
  4. Step 4: Simplify right side
    201,940.20x = 31,012,928,825.69
  5. Step 5: Solve for x
    x = 31,012,928,825.69/201,940.20
  6. Step 6: Final answer
    x = 153,574.81

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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.