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Finding the Fourth Proportional to 81,208.78, 121,822.85 and 33,855.98

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Solution

The fourth proportional to 81,208.78, 121,822.85 and 33,855.98 is: 50,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,208.78 : 121,822.85 = 33,855.98 : x
  2. Step 2: Convert to fraction form
    81,208.78/121,822.85 = 33,855.98/x
  3. Step 3: Cross multiply
    81,208.78x = 121,822.85 × 33,855.98
  4. Step 4: Simplify right side
    81,208.78x = 4,124,431,448.67
  5. Step 5: Solve for x
    x = 4,124,431,448.67/81,208.78
  6. Step 6: Final answer
    x = 50,788.00

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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.