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Finding the Fourth Proportional to 78,055.70, 107,716.86 and 42,245.97

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Solution

The fourth proportional to 78,055.70, 107,716.86 and 42,245.97 is: 58,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,055.70 : 107,716.86 = 42,245.97 : x
  2. Step 2: Convert to fraction form
    78,055.70/107,716.86 = 42,245.97/x
  3. Step 3: Cross multiply
    78,055.70x = 107,716.86 × 42,245.97
  4. Step 4: Simplify right side
    78,055.70x = 4,550,603,236.05
  5. Step 5: Solve for x
    x = 4,550,603,236.05/78,055.70
  6. Step 6: Final answer
    x = 58,299.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.