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Finding the Fourth Proportional to 78,157.73, 117,212.64 and 28,231.67

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Solution

The fourth proportional to 78,157.73, 117,212.64 and 28,231.67 is: 42,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.73 : 117,212.64 = 28,231.67 : x
  2. Step 2: Convert to fraction form
    78,157.73/117,212.64 = 28,231.67/x
  3. Step 3: Cross multiply
    78,157.73x = 117,212.64 × 28,231.67
  4. Step 4: Simplify right side
    78,157.73x = 3,309,107,986.25
  5. Step 5: Solve for x
    x = 3,309,107,986.25/78,157.73
  6. Step 6: Final answer
    x = 42,338.85

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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.