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Finding the Fourth Proportional to 76,481.70, 105,546.09 and 42,493.29

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Solution

The fourth proportional to 76,481.70, 105,546.09 and 42,493.29 is: 58,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481.70 : 105,546.09 = 42,493.29 : x
  2. Step 2: Convert to fraction form
    76,481.70/105,546.09 = 42,493.29/x
  3. Step 3: Cross multiply
    76,481.70x = 105,546.09 × 42,493.29
  4. Step 4: Simplify right side
    76,481.70x = 4,485,000,610.74
  5. Step 5: Solve for x
    x = 4,485,000,610.74/76,481.70
  6. Step 6: Final answer
    x = 58,641.49

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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.