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Finding the Fourth Proportional to 221,164.44, 305,110.68 and 140,548.74

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Solution

The fourth proportional to 221,164.44, 305,110.68 and 140,548.74 is: 193,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,164.44 : 305,110.68 = 140,548.74 : x
  2. Step 2: Convert to fraction form
    221,164.44/305,110.68 = 140,548.74/x
  3. Step 3: Cross multiply
    221,164.44x = 305,110.68 × 140,548.74
  4. Step 4: Simplify right side
    221,164.44x = 42,882,921,634.54
  5. Step 5: Solve for x
    x = 42,882,921,634.54/221,164.44
  6. Step 6: Final answer
    x = 193,896.10

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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.