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Finding the Fourth Proportional to 180,219.54, 270,152.76 and 100,295.64

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Solution

The fourth proportional to 180,219.54, 270,152.76 and 100,295.64 is: 150,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,219.54 : 270,152.76 = 100,295.64 : x
  2. Step 2: Convert to fraction form
    180,219.54/270,152.76 = 100,295.64/x
  3. Step 3: Cross multiply
    180,219.54x = 270,152.76 × 100,295.64
  4. Step 4: Simplify right side
    180,219.54x = 27,095,143,961.97
  5. Step 5: Solve for x
    x = 27,095,143,961.97/180,219.54
  6. Step 6: Final answer
    x = 150,345.21

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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.