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Finding the Fourth Proportional to 281,411.84, 422,139.68 and 81,735.44

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Solution

The fourth proportional to 281,411.84, 422,139.68 and 81,735.44 is: 122,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,411.84 : 422,139.68 = 81,735.44 : x
  2. Step 2: Convert to fraction form
    281,411.84/422,139.68 = 81,735.44/x
  3. Step 3: Cross multiply
    281,411.84x = 422,139.68 × 81,735.44
  4. Step 4: Simplify right side
    281,411.84x = 34,503,772,486.26
  5. Step 5: Solve for x
    x = 34,503,772,486.26/281,411.84
  6. Step 6: Final answer
    x = 122,609.53

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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.