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Finding the Fourth Proportional to 201,853.80, 278,556.93 and 111,207.67

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Solution

The fourth proportional to 201,853.80, 278,556.93 and 111,207.67 is: 153,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.80 : 278,556.93 = 111,207.67 : x
  2. Step 2: Convert to fraction form
    201,853.80/278,556.93 = 111,207.67/x
  3. Step 3: Cross multiply
    201,853.80x = 278,556.93 × 111,207.67
  4. Step 4: Simplify right side
    201,853.80x = 30,977,667,147.65
  5. Step 5: Solve for x
    x = 30,977,667,147.65/201,853.80
  6. Step 6: Final answer
    x = 153,465.86

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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.