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Finding the Fourth Proportional to 201,668.21, 278,297.75 and 111,020.70

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Solution

The fourth proportional to 201,668.21, 278,297.75 and 111,020.70 is: 153,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,668.21 : 278,297.75 = 111,020.70 : x
  2. Step 2: Convert to fraction form
    201,668.21/278,297.75 = 111,020.70/x
  3. Step 3: Cross multiply
    201,668.21x = 278,297.75 × 111,020.70
  4. Step 4: Simplify right side
    201,668.21x = 30,896,811,013.43
  5. Step 5: Solve for x
    x = 30,896,811,013.43/201,668.21
  6. Step 6: Final answer
    x = 153,206.15

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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.