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Finding the Fourth Proportional to 204,774.40, 307,161.60 and 71,640.78

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Solution

The fourth proportional to 204,774.40, 307,161.60 and 71,640.78 is: 107,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,774.40 : 307,161.60 = 71,640.78 : x
  2. Step 2: Convert to fraction form
    204,774.40/307,161.60 = 71,640.78/x
  3. Step 3: Cross multiply
    204,774.40x = 307,161.60 × 71,640.78
  4. Step 4: Simplify right side
    204,774.40x = 22,005,295,074.24
  5. Step 5: Solve for x
    x = 22,005,295,074.24/204,774.40
  6. Step 6: Final answer
    x = 107,461.16

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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.