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Finding the Fourth Proportional to 78,283.08, 117,442.53 and 33,917.22

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Solution

The fourth proportional to 78,283.08, 117,442.53 and 33,917.22 is: 50,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,283.08 : 117,442.53 = 33,917.22 : x
  2. Step 2: Convert to fraction form
    78,283.08/117,442.53 = 33,917.22/x
  3. Step 3: Cross multiply
    78,283.08x = 117,442.53 × 33,917.22
  4. Step 4: Simplify right side
    78,283.08x = 3,983,324,127.37
  5. Step 5: Solve for x
    x = 3,983,324,127.37/78,283.08
  6. Step 6: Final answer
    x = 50,883.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.