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Finding the Fourth Proportional to 201,930.62, 278,662.85 and 111,286.65

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Solution

The fourth proportional to 201,930.62, 278,662.85 and 111,286.65 is: 153,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930.62 : 278,662.85 = 111,286.65 : x
  2. Step 2: Convert to fraction form
    201,930.62/278,662.85 = 111,286.65/x
  3. Step 3: Cross multiply
    201,930.62x = 278,662.85 × 111,286.65
  4. Step 4: Simplify right side
    201,930.62x = 31,011,455,055.95
  5. Step 5: Solve for x
    x = 31,011,455,055.95/201,930.62
  6. Step 6: Final answer
    x = 153,574.80

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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.