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Finding the Fourth Proportional to 180,768.49, 270,961.55 and 66,843.10

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Solution

The fourth proportional to 180,768.49, 270,961.55 and 66,843.10 is: 100,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,768.49 : 270,961.55 = 66,843.10 : x
  2. Step 2: Convert to fraction form
    180,768.49/270,961.55 = 66,843.10/x
  3. Step 3: Cross multiply
    180,768.49x = 270,961.55 × 66,843.10
  4. Step 4: Simplify right side
    180,768.49x = 18,111,909,061.08
  5. Step 5: Solve for x
    x = 18,111,909,061.08/180,768.49
  6. Step 6: Final answer
    x = 100,193.95

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1.5x scale

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.