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Finding the Fourth Proportional to 221,149.12, 305,181.12 and 135,078.52

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Solution

The fourth proportional to 221,149.12, 305,181.12 and 135,078.52 is: 186,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,149.12 : 305,181.12 = 135,078.52 : x
  2. Step 2: Convert to fraction form
    221,149.12/305,181.12 = 135,078.52/x
  3. Step 3: Cross multiply
    221,149.12x = 305,181.12 × 135,078.52
  4. Step 4: Simplify right side
    221,149.12x = 41,223,414,021.54
  5. Step 5: Solve for x
    x = 41,223,414,021.54/221,149.12
  6. Step 6: Final answer
    x = 186,405.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.