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Finding the Fourth Proportional to 228,201.20, 342,010.20 and 109,617.20

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Solution

The fourth proportional to 228,201.20, 342,010.20 and 109,617.20 is: 164,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,201.20 : 342,010.20 = 109,617.20 : x
  2. Step 2: Convert to fraction form
    228,201.20/342,010.20 = 109,617.20/x
  3. Step 3: Cross multiply
    228,201.20x = 342,010.20 × 109,617.20
  4. Step 4: Simplify right side
    228,201.20x = 37,490,200,495.44
  5. Step 5: Solve for x
    x = 37,490,200,495.44/228,201.20
  6. Step 6: Final answer
    x = 164,285.73

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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.