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Finding the Fourth Proportional to 208,987.40, 313,344.78 and 75,842.44

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Solution

The fourth proportional to 208,987.40, 313,344.78 and 75,842.44 is: 113,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987.40 : 313,344.78 = 75,842.44 : x
  2. Step 2: Convert to fraction form
    208,987.40/313,344.78 = 75,842.44/x
  3. Step 3: Cross multiply
    208,987.40x = 313,344.78 × 75,842.44
  4. Step 4: Simplify right side
    208,987.40x = 23,764,832,676.46
  5. Step 5: Solve for x
    x = 23,764,832,676.46/208,987.40
  6. Step 6: Final answer
    x = 113,714.19

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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.