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Finding the Fourth Proportional to 171,816.78, 257,825.60 and 71,968.48

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Solution

The fourth proportional to 171,816.78, 257,825.60 and 71,968.48 is: 107,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,816.78 : 257,825.60 = 71,968.48 : x
  2. Step 2: Convert to fraction form
    171,816.78/257,825.60 = 71,968.48/x
  3. Step 3: Cross multiply
    171,816.78x = 257,825.60 × 71,968.48
  4. Step 4: Simplify right side
    171,816.78x = 18,555,316,537.09
  5. Step 5: Solve for x
    x = 18,555,316,537.09/171,816.78
  6. Step 6: Final answer
    x = 107,994.79

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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.