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Finding the Fourth Proportional to 78,321.96, 117,493.74 and 25,736.76

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Solution

The fourth proportional to 78,321.96, 117,493.74 and 25,736.76 is: 38,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.96 : 117,493.74 = 25,736.76 : x
  2. Step 2: Convert to fraction form
    78,321.96/117,493.74 = 25,736.76/x
  3. Step 3: Cross multiply
    78,321.96x = 117,493.74 × 25,736.76
  4. Step 4: Simplify right side
    78,321.96x = 3,023,908,187.88
  5. Step 5: Solve for x
    x = 3,023,908,187.88/78,321.96
  6. Step 6: Final answer
    x = 38,608.69

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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.