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Finding the Fourth Proportional to 172,853.80, 258,843.30 and 164,980.60

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Solution

The fourth proportional to 172,853.80, 258,843.30 and 164,980.60 is: 247,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,853.80 : 258,843.30 = 164,980.60 : x
  2. Step 2: Convert to fraction form
    172,853.80/258,843.30 = 164,980.60/x
  3. Step 3: Cross multiply
    172,853.80x = 258,843.30 × 164,980.60
  4. Step 4: Simplify right side
    172,853.80x = 42,704,122,939.98
  5. Step 5: Solve for x
    x = 42,704,122,939.98/172,853.80
  6. Step 6: Final answer
    x = 247,053.42

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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.