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Finding the Fourth Proportional to 199,077.69, 298,739.25 and 80,750.06

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Solution

The fourth proportional to 199,077.69, 298,739.25 and 80,750.06 is: 121,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,077.69 : 298,739.25 = 80,750.06 : x
  2. Step 2: Convert to fraction form
    199,077.69/298,739.25 = 80,750.06/x
  3. Step 3: Cross multiply
    199,077.69x = 298,739.25 × 80,750.06
  4. Step 4: Simplify right side
    199,077.69x = 24,123,210,868.16
  5. Step 5: Solve for x
    x = 24,123,210,868.16/199,077.69
  6. Step 6: Final answer
    x = 121,174.86

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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.