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Finding the Fourth Proportional to 204,798.50, 307,213.31 and 69,820.64

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Solution

The fourth proportional to 204,798.50, 307,213.31 and 69,820.64 is: 104,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,798.50 : 307,213.31 = 69,820.64 : x
  2. Step 2: Convert to fraction form
    204,798.50/307,213.31 = 69,820.64/x
  3. Step 3: Cross multiply
    204,798.50x = 307,213.31 × 69,820.64
  4. Step 4: Simplify right side
    204,798.50x = 21,449,829,920.72
  5. Step 5: Solve for x
    x = 21,449,829,920.72/204,798.50
  6. Step 6: Final answer
    x = 104,736.26

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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.