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Finding the Fourth Proportional to 81,097.44, 121,644.72 and 25,692

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Solution

The fourth proportional to 81,097.44, 121,644.72 and 25,692 is: 38,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,097.44 : 121,644.72 = 25,692 : x
  2. Step 2: Convert to fraction form
    81,097.44/121,644.72 = 25,692/x
  3. Step 3: Cross multiply
    81,097.44x = 121,644.72 × 25,692
  4. Step 4: Simplify right side
    81,097.44x = 3,125,296,146.24
  5. Step 5: Solve for x
    x = 3,125,296,146.24/81,097.44
  6. Step 6: Final answer
    x = 38,537.54

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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.