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Finding the Fourth Proportional to 281,638.44, 422,457.30 and 94,781.16

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Solution

The fourth proportional to 281,638.44, 422,457.30 and 94,781.16 is: 142,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,638.44 : 422,457.30 = 94,781.16 : x
  2. Step 2: Convert to fraction form
    281,638.44/422,457.30 = 94,781.16/x
  3. Step 3: Cross multiply
    281,638.44x = 422,457.30 × 94,781.16
  4. Step 4: Simplify right side
    281,638.44x = 40,040,992,944.47
  5. Step 5: Solve for x
    x = 40,040,992,944.47/281,638.44
  6. Step 6: Final answer
    x = 142,171.62

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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.