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Finding the Fourth Proportional to 201,909.67, 278,634.75 and 111,265.60

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Solution

The fourth proportional to 201,909.67, 278,634.75 and 111,265.60 is: 153,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909.67 : 278,634.75 = 111,265.60 : x
  2. Step 2: Convert to fraction form
    201,909.67/278,634.75 = 111,265.60/x
  3. Step 3: Cross multiply
    201,909.67x = 278,634.75 × 111,265.60
  4. Step 4: Simplify right side
    201,909.67x = 31,002,462,639.60
  5. Step 5: Solve for x
    x = 31,002,462,639.60/201,909.67
  6. Step 6: Final answer
    x = 153,546.20

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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.