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Finding the Fourth Proportional to 172,766.80, 258,858.60 and 83,828.80

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Solution

The fourth proportional to 172,766.80, 258,858.60 and 83,828.80 is: 125,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,766.80 : 258,858.60 = 83,828.80 : x
  2. Step 2: Convert to fraction form
    172,766.80/258,858.60 = 83,828.80/x
  3. Step 3: Cross multiply
    172,766.80x = 258,858.60 × 83,828.80
  4. Step 4: Simplify right side
    172,766.80x = 21,699,805,807.68
  5. Step 5: Solve for x
    x = 21,699,805,807.68/172,766.80
  6. Step 6: Final answer
    x = 125,601.71

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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.