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Finding the Fourth Proportional to 81,805.84, 122,708.72 and 29,208.48

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Solution

The fourth proportional to 81,805.84, 122,708.72 and 29,208.48 is: 43,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.84 : 122,708.72 = 29,208.48 : x
  2. Step 2: Convert to fraction form
    81,805.84/122,708.72 = 29,208.48/x
  3. Step 3: Cross multiply
    81,805.84x = 122,708.72 × 29,208.48
  4. Step 4: Simplify right side
    81,805.84x = 3,584,135,193.95
  5. Step 5: Solve for x
    x = 3,584,135,193.95/81,805.84
  6. Step 6: Final answer
    x = 43,812.71

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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.