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Finding the Fourth Proportional to 180,605.46, 270,926.10 and 66,783.12

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Solution

The fourth proportional to 180,605.46, 270,926.10 and 66,783.12 is: 100,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,605.46 : 270,926.10 = 66,783.12 : x
  2. Step 2: Convert to fraction form
    180,605.46/270,926.10 = 66,783.12/x
  3. Step 3: Cross multiply
    180,605.46x = 270,926.10 × 66,783.12
  4. Step 4: Simplify right side
    180,605.46x = 18,093,290,247.43
  5. Step 5: Solve for x
    x = 18,093,290,247.43/180,605.46
  6. Step 6: Final answer
    x = 100,181.30

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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.