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Finding the Fourth Proportional to 180,121.89, 270,141.53 and 67,813.77

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Solution

The fourth proportional to 180,121.89, 270,141.53 and 67,813.77 is: 101,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,121.89 : 270,141.53 = 67,813.77 : x
  2. Step 2: Convert to fraction form
    180,121.89/270,141.53 = 67,813.77/x
  3. Step 3: Cross multiply
    180,121.89x = 270,141.53 × 67,813.77
  4. Step 4: Simplify right side
    180,121.89x = 18,319,315,243.80
  5. Step 5: Solve for x
    x = 18,319,315,243.80/180,121.89
  6. Step 6: Final answer
    x = 101,705.10

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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.