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Finding the Fourth Proportional to 201,911.91, 278,654.67 and 111,286.32

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Solution

The fourth proportional to 201,911.91, 278,654.67 and 111,286.32 is: 153,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911.91 : 278,654.67 = 111,286.32 : x
  2. Step 2: Convert to fraction form
    201,911.91/278,654.67 = 111,286.32/x
  3. Step 3: Cross multiply
    201,911.91x = 278,654.67 × 111,286.32
  4. Step 4: Simplify right side
    201,911.91x = 31,010,452,775.11
  5. Step 5: Solve for x
    x = 31,010,452,775.11/201,911.91
  6. Step 6: Final answer
    x = 153,584.07

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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.