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Finding the Fourth Proportional to 180,255.47, 270,419.68 and 80,415.67

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Solution

The fourth proportional to 180,255.47, 270,419.68 and 80,415.67 is: 120,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,255.47 : 270,419.68 = 80,415.67 : x
  2. Step 2: Convert to fraction form
    180,255.47/270,419.68 = 80,415.67/x
  3. Step 3: Cross multiply
    180,255.47x = 270,419.68 × 80,415.67
  4. Step 4: Simplify right side
    180,255.47x = 21,745,978,396.29
  5. Step 5: Solve for x
    x = 21,745,978,396.29/180,255.47
  6. Step 6: Final answer
    x = 120,639.77

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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.