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Finding the Fourth Proportional to 199,266.40, 298,899.60 and 81,022.60

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Solution

The fourth proportional to 199,266.40, 298,899.60 and 81,022.60 is: 121,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,266.40 : 298,899.60 = 81,022.60 : x
  2. Step 2: Convert to fraction form
    199,266.40/298,899.60 = 81,022.60/x
  3. Step 3: Cross multiply
    199,266.40x = 298,899.60 × 81,022.60
  4. Step 4: Simplify right side
    199,266.40x = 24,217,622,730.96
  5. Step 5: Solve for x
    x = 24,217,622,730.96/199,266.40
  6. Step 6: Final answer
    x = 121,533.90

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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.