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Finding the Fourth Proportional to 78,811.20, 118,227.60 and 28,879.20

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Solution

The fourth proportional to 78,811.20, 118,227.60 and 28,879.20 is: 43,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811.20 : 118,227.60 = 28,879.20 : x
  2. Step 2: Convert to fraction form
    78,811.20/118,227.60 = 28,879.20/x
  3. Step 3: Cross multiply
    78,811.20x = 118,227.60 × 28,879.20
  4. Step 4: Simplify right side
    78,811.20x = 3,414,318,505.92
  5. Step 5: Solve for x
    x = 3,414,318,505.92/78,811.20
  6. Step 6: Final answer
    x = 43,322.76

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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.