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Finding the Fourth Proportional to 203,698, 305,555.28 and 97,027.12

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Solution

The fourth proportional to 203,698, 305,555.28 and 97,027.12 is: 145,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,698 : 305,555.28 = 97,027.12 : x
  2. Step 2: Convert to fraction form
    203,698/305,555.28 = 97,027.12/x
  3. Step 3: Cross multiply
    203,698x = 305,555.28 × 97,027.12
  4. Step 4: Simplify right side
    203,698x = 29,647,148,819.19
  5. Step 5: Solve for x
    x = 29,647,148,819.19/203,698
  6. Step 6: Final answer
    x = 145,544.62

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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.