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Finding the Fourth Proportional to 199,112.80, 298,231.80 and 172,868.80

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Solution

The fourth proportional to 199,112.80, 298,231.80 and 172,868.80 is: 258,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,112.80 : 298,231.80 = 172,868.80 : x
  2. Step 2: Convert to fraction form
    199,112.80/298,231.80 = 172,868.80/x
  3. Step 3: Cross multiply
    199,112.80x = 298,231.80 × 172,868.80
  4. Step 4: Simplify right side
    199,112.80x = 51,554,973,387.84
  5. Step 5: Solve for x
    x = 51,554,973,387.84/199,112.80
  6. Step 6: Final answer
    x = 258,923.45

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1.5x scale

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.