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Finding the Fourth Proportional to 208,988.40, 313,346.28 and 75,843.44

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Solution

The fourth proportional to 208,988.40, 313,346.28 and 75,843.44 is: 113,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,988.40 : 313,346.28 = 75,843.44 : x
  2. Step 2: Convert to fraction form
    208,988.40/313,346.28 = 75,843.44/x
  3. Step 3: Cross multiply
    208,988.40x = 313,346.28 × 75,843.44
  4. Step 4: Simplify right side
    208,988.40x = 23,765,259,786.40
  5. Step 5: Solve for x
    x = 23,765,259,786.40/208,988.40
  6. Step 6: Final answer
    x = 113,715.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.