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Finding the Fourth Proportional to 81,458.21, 122,206.41 and 25,295.42

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Solution

The fourth proportional to 81,458.21, 122,206.41 and 25,295.42 is: 37,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458.21 : 122,206.41 = 25,295.42 : x
  2. Step 2: Convert to fraction form
    81,458.21/122,206.41 = 25,295.42/x
  3. Step 3: Cross multiply
    81,458.21x = 122,206.41 × 25,295.42
  4. Step 4: Simplify right side
    81,458.21x = 3,091,262,467.64
  5. Step 5: Solve for x
    x = 3,091,262,467.64/81,458.21
  6. Step 6: Final answer
    x = 37,949.06

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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.