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Finding the Fourth Proportional to 81,907.50, 122,804.24 and 36,290.44

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Solution

The fourth proportional to 81,907.50, 122,804.24 and 36,290.44 is: 54,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907.50 : 122,804.24 = 36,290.44 : x
  2. Step 2: Convert to fraction form
    81,907.50/122,804.24 = 36,290.44/x
  3. Step 3: Cross multiply
    81,907.50x = 122,804.24 × 36,290.44
  4. Step 4: Simplify right side
    81,907.50x = 4,456,619,903.47
  5. Step 5: Solve for x
    x = 4,456,619,903.47/81,907.50
  6. Step 6: Final answer
    x = 54,410.40

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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.