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Finding the Fourth Proportional to 207,969.80, 311,954.70 and 67,742.60

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Solution

The fourth proportional to 207,969.80, 311,954.70 and 67,742.60 is: 101,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,969.80 : 311,954.70 = 67,742.60 : x
  2. Step 2: Convert to fraction form
    207,969.80/311,954.70 = 67,742.60/x
  3. Step 3: Cross multiply
    207,969.80x = 311,954.70 × 67,742.60
  4. Step 4: Simplify right side
    207,969.80x = 21,132,622,460.22
  5. Step 5: Solve for x
    x = 21,132,622,460.22/207,969.80
  6. Step 6: Final answer
    x = 101,613.90

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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.