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Finding the Fourth Proportional to 180,104.67, 270,157.01 and 69,270.75

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Solution

The fourth proportional to 180,104.67, 270,157.01 and 69,270.75 is: 103,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,104.67 : 270,157.01 = 69,270.75 : x
  2. Step 2: Convert to fraction form
    180,104.67/270,157.01 = 69,270.75/x
  3. Step 3: Cross multiply
    180,104.67x = 270,157.01 × 69,270.75
  4. Step 4: Simplify right side
    180,104.67x = 18,713,978,354.10
  5. Step 5: Solve for x
    x = 18,713,978,354.10/180,104.67
  6. Step 6: Final answer
    x = 103,906.13

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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.