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Finding the Fourth Proportional to 81,205.31, 121,828.71 and 33,804.64

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Solution

The fourth proportional to 81,205.31, 121,828.71 and 33,804.64 is: 50,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.31 : 121,828.71 = 33,804.64 : x
  2. Step 2: Convert to fraction form
    81,205.31/121,828.71 = 33,804.64/x
  3. Step 3: Cross multiply
    81,205.31x = 121,828.71 × 33,804.64
  4. Step 4: Simplify right side
    81,205.31x = 4,118,375,074.07
  5. Step 5: Solve for x
    x = 4,118,375,074.07/81,205.31
  6. Step 6: Final answer
    x = 50,715.59

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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.