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Finding the Fourth Proportional to 40,171, 55,431.14 and 22,266.28

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Solution

The fourth proportional to 40,171, 55,431.14 and 22,266.28 is: 30,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,171 : 55,431.14 = 22,266.28 : x
  2. Step 2: Convert to fraction form
    40,171/55,431.14 = 22,266.28/x
  3. Step 3: Cross multiply
    40,171x = 55,431.14 × 22,266.28
  4. Step 4: Simplify right side
    40,171x = 1,234,245,283.96
  5. Step 5: Solve for x
    x = 1,234,245,283.96/40,171
  6. Step 6: Final answer
    x = 30,724.78

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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.