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Finding the Fourth Proportional to 81,782.68, 122,699.94 and 29,191

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Solution

The fourth proportional to 81,782.68, 122,699.94 and 29,191 is: 43,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782.68 : 122,699.94 = 29,191 : x
  2. Step 2: Convert to fraction form
    81,782.68/122,699.94 = 29,191/x
  3. Step 3: Cross multiply
    81,782.68x = 122,699.94 × 29,191
  4. Step 4: Simplify right side
    81,782.68x = 3,581,733,948.54
  5. Step 5: Solve for x
    x = 3,581,733,948.54/81,782.68
  6. Step 6: Final answer
    x = 43,795.75

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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.