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Finding the Fourth Proportional to 78,751.96, 117,996.44 and 55,336.48

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Solution

The fourth proportional to 78,751.96, 117,996.44 and 55,336.48 is: 82,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,751.96 : 117,996.44 = 55,336.48 : x
  2. Step 2: Convert to fraction form
    78,751.96/117,996.44 = 55,336.48/x
  3. Step 3: Cross multiply
    78,751.96x = 117,996.44 × 55,336.48
  4. Step 4: Simplify right side
    78,751.96x = 6,529,507,642.13
  5. Step 5: Solve for x
    x = 6,529,507,642.13/78,751.96
  6. Step 6: Final answer
    x = 82,912.32

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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.