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Finding the Fourth Proportional to 228,620.75, 342,947.39 and 78,858.77

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Solution

The fourth proportional to 228,620.75, 342,947.39 and 78,858.77 is: 118,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,620.75 : 342,947.39 = 78,858.77 : x
  2. Step 2: Convert to fraction form
    228,620.75/342,947.39 = 78,858.77/x
  3. Step 3: Cross multiply
    228,620.75x = 342,947.39 × 78,858.77
  4. Step 4: Simplify right side
    228,620.75x = 27,044,407,241.08
  5. Step 5: Solve for x
    x = 27,044,407,241.08/228,620.75
  6. Step 6: Final answer
    x = 118,293.76

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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.