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Finding the Fourth Proportional to 180,208.17, 270,270.34 and 67,899.65

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Solution

The fourth proportional to 180,208.17, 270,270.34 and 67,899.65 is: 101,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,208.17 : 270,270.34 = 67,899.65 : x
  2. Step 2: Convert to fraction form
    180,208.17/270,270.34 = 67,899.65/x
  3. Step 3: Cross multiply
    180,208.17x = 270,270.34 × 67,899.65
  4. Step 4: Simplify right side
    180,208.17x = 18,351,259,970.28
  5. Step 5: Solve for x
    x = 18,351,259,970.28/180,208.17
  6. Step 6: Final answer
    x = 101,833.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.