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Finding the Fourth Proportional to 192,978.67, 265,716.11 and 171,431.05

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Solution

The fourth proportional to 192,978.67, 265,716.11 and 171,431.05 is: 236,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,978.67 : 265,716.11 = 171,431.05 : x
  2. Step 2: Convert to fraction form
    192,978.67/265,716.11 = 171,431.05/x
  3. Step 3: Cross multiply
    192,978.67x = 265,716.11 × 171,431.05
  4. Step 4: Simplify right side
    192,978.67x = 45,551,991,739.22
  5. Step 5: Solve for x
    x = 45,551,991,739.22/192,978.67
  6. Step 6: Final answer
    x = 236,046.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.