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Finding the Fourth Proportional to 171,932.30, 258,007.80 and 100,854.80

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Solution

The fourth proportional to 171,932.30, 258,007.80 and 100,854.80 is: 151,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,932.30 : 258,007.80 = 100,854.80 : x
  2. Step 2: Convert to fraction form
    171,932.30/258,007.80 = 100,854.80/x
  3. Step 3: Cross multiply
    171,932.30x = 258,007.80 × 100,854.80
  4. Step 4: Simplify right side
    171,932.30x = 26,021,325,067.44
  5. Step 5: Solve for x
    x = 26,021,325,067.44/171,932.30
  6. Step 6: Final answer
    x = 151,346.34

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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.