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Finding the Fourth Proportional to 275,902.56, 413,930.16 and 109,807.20

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Solution

The fourth proportional to 275,902.56, 413,930.16 and 109,807.20 is: 164,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902.56 : 413,930.16 = 109,807.20 : x
  2. Step 2: Convert to fraction form
    275,902.56/413,930.16 = 109,807.20/x
  3. Step 3: Cross multiply
    275,902.56x = 413,930.16 × 109,807.20
  4. Step 4: Simplify right side
    275,902.56x = 45,452,511,865.15
  5. Step 5: Solve for x
    x = 45,452,511,865.15/275,902.56
  6. Step 6: Final answer
    x = 164,741.17

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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.