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Finding the Fourth Proportional to 201,927.34, 278,661.63 and 111,286.57

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Solution

The fourth proportional to 201,927.34, 278,661.63 and 111,286.57 is: 153,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,927.34 : 278,661.63 = 111,286.57 : x
  2. Step 2: Convert to fraction form
    201,927.34/278,661.63 = 111,286.57/x
  3. Step 3: Cross multiply
    201,927.34x = 278,661.63 × 111,286.57
  4. Step 4: Simplify right side
    201,927.34x = 31,011,296,993.31
  5. Step 5: Solve for x
    x = 31,011,296,993.31/201,927.34
  6. Step 6: Final answer
    x = 153,576.51

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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.