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Finding the Fourth Proportional to 75,109.44, 103,645.26 and 43,257

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Solution

The fourth proportional to 75,109.44, 103,645.26 and 43,257 is: 59,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.44 : 103,645.26 = 43,257 : x
  2. Step 2: Convert to fraction form
    75,109.44/103,645.26 = 43,257/x
  3. Step 3: Cross multiply
    75,109.44x = 103,645.26 × 43,257
  4. Step 4: Simplify right side
    75,109.44x = 4,483,383,011.82
  5. Step 5: Solve for x
    x = 4,483,383,011.82/75,109.44
  6. Step 6: Final answer
    x = 59,691.34

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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.