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Finding the Fourth Proportional to 49,435.75, 68,221.34 and 28,214.56

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Solution

The fourth proportional to 49,435.75, 68,221.34 and 28,214.56 is: 38,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435.75 : 68,221.34 = 28,214.56 : x
  2. Step 2: Convert to fraction form
    49,435.75/68,221.34 = 28,214.56/x
  3. Step 3: Cross multiply
    49,435.75x = 68,221.34 × 28,214.56
  4. Step 4: Simplify right side
    49,435.75x = 1,924,834,949.64
  5. Step 5: Solve for x
    x = 1,924,834,949.64/49,435.75
  6. Step 6: Final answer
    x = 38,936.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.