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Finding the Fourth Proportional to 81,378, 122,062.14 and 25,218.27

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Solution

The fourth proportional to 81,378, 122,062.14 and 25,218.27 is: 37,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378 : 122,062.14 = 25,218.27 : x
  2. Step 2: Convert to fraction form
    81,378/122,062.14 = 25,218.27/x
  3. Step 3: Cross multiply
    81,378x = 122,062.14 × 25,218.27
  4. Step 4: Simplify right side
    81,378x = 3,078,196,003.30
  5. Step 5: Solve for x
    x = 3,078,196,003.30/81,378
  6. Step 6: Final answer
    x = 37,825.90

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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.