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Finding the Fourth Proportional to 199,040.40, 298,123.20 and 120,016.80

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Solution

The fourth proportional to 199,040.40, 298,123.20 and 120,016.80 is: 179,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,040.40 : 298,123.20 = 120,016.80 : x
  2. Step 2: Convert to fraction form
    199,040.40/298,123.20 = 120,016.80/x
  3. Step 3: Cross multiply
    199,040.40x = 298,123.20 × 120,016.80
  4. Step 4: Simplify right side
    199,040.40x = 35,779,792,469.76
  5. Step 5: Solve for x
    x = 35,779,792,469.76/199,040.40
  6. Step 6: Final answer
    x = 179,761.46

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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.