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Finding the Fourth Proportional to 78,620.82, 117,832.77 and 61,914.87

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Solution

The fourth proportional to 78,620.82, 117,832.77 and 61,914.87 is: 92,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,620.82 : 117,832.77 = 61,914.87 : x
  2. Step 2: Convert to fraction form
    78,620.82/117,832.77 = 61,914.87/x
  3. Step 3: Cross multiply
    78,620.82x = 117,832.77 × 61,914.87
  4. Step 4: Simplify right side
    78,620.82x = 7,295,600,636.29
  5. Step 5: Solve for x
    x = 7,295,600,636.29/78,620.82
  6. Step 6: Final answer
    x = 92,794.77

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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.