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Finding the Fourth Proportional to 76,578.96, 114,855.48 and 21,162

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Solution

The fourth proportional to 76,578.96, 114,855.48 and 21,162 is: 31,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.96 : 114,855.48 = 21,162 : x
  2. Step 2: Convert to fraction form
    76,578.96/114,855.48 = 21,162/x
  3. Step 3: Cross multiply
    76,578.96x = 114,855.48 × 21,162
  4. Step 4: Simplify right side
    76,578.96x = 2,430,571,667.76
  5. Step 5: Solve for x
    x = 2,430,571,667.76/76,578.96
  6. Step 6: Final answer
    x = 31,739.42

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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.