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Finding the Fourth Proportional to 200,796, 301,132.56 and 67,640.54

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Solution

The fourth proportional to 200,796, 301,132.56 and 67,640.54 is: 101,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,796 : 301,132.56 = 67,640.54 : x
  2. Step 2: Convert to fraction form
    200,796/301,132.56 = 67,640.54/x
  3. Step 3: Cross multiply
    200,796x = 301,132.56 × 67,640.54
  4. Step 4: Simplify right side
    200,796x = 20,368,768,969.98
  5. Step 5: Solve for x
    x = 20,368,768,969.98/200,796
  6. Step 6: Final answer
    x = 101,440.11

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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.