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Finding the Fourth Proportional to 81,161, 121,741.54 and 25,757

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Solution

The fourth proportional to 81,161, 121,741.54 and 25,757 is: 38,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,161 : 121,741.54 = 25,757 : x
  2. Step 2: Convert to fraction form
    81,161/121,741.54 = 25,757/x
  3. Step 3: Cross multiply
    81,161x = 121,741.54 × 25,757
  4. Step 4: Simplify right side
    81,161x = 3,135,696,845.78
  5. Step 5: Solve for x
    x = 3,135,696,845.78/81,161
  6. Step 6: Final answer
    x = 38,635.51

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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.