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Finding the Fourth Proportional to 81,583.41, 122,375.12 and 28,994.97

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Solution

The fourth proportional to 81,583.41, 122,375.12 and 28,994.97 is: 43,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,583.41 : 122,375.12 = 28,994.97 : x
  2. Step 2: Convert to fraction form
    81,583.41/122,375.12 = 28,994.97/x
  3. Step 3: Cross multiply
    81,583.41x = 122,375.12 × 28,994.97
  4. Step 4: Simplify right side
    81,583.41x = 3,548,262,788.17
  5. Step 5: Solve for x
    x = 3,548,262,788.17/81,583.41
  6. Step 6: Final answer
    x = 43,492.46

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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.