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Finding the Fourth Proportional to 78,840, 118,189.66 and 28,908.44

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Solution

The fourth proportional to 78,840, 118,189.66 and 28,908.44 is: 43,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 118,189.66 = 28,908.44 : x
  2. Step 2: Convert to fraction form
    78,840/118,189.66 = 28,908.44/x
  3. Step 3: Cross multiply
    78,840x = 118,189.66 × 28,908.44
  4. Step 4: Simplify right side
    78,840x = 3,416,678,694.73
  5. Step 5: Solve for x
    x = 3,416,678,694.73/78,840
  6. Step 6: Final answer
    x = 43,336.87

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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.