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Finding the Fourth Proportional to 81,782.93, 122,673.98 and 21,811.28

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Solution

The fourth proportional to 81,782.93, 122,673.98 and 21,811.28 is: 32,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782.93 : 122,673.98 = 21,811.28 : x
  2. Step 2: Convert to fraction form
    81,782.93/122,673.98 = 21,811.28/x
  3. Step 3: Cross multiply
    81,782.93x = 122,673.98 × 21,811.28
  4. Step 4: Simplify right side
    81,782.93x = 2,675,675,804.07
  5. Step 5: Solve for x
    x = 2,675,675,804.07/81,782.93
  6. Step 6: Final answer
    x = 32,716.80

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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.