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Finding the Fourth Proportional to 79,680.48, 119,496.96 and 27,078

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Solution

The fourth proportional to 79,680.48, 119,496.96 and 27,078 is: 40,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,680.48 : 119,496.96 = 27,078 : x
  2. Step 2: Convert to fraction form
    79,680.48/119,496.96 = 27,078/x
  3. Step 3: Cross multiply
    79,680.48x = 119,496.96 × 27,078
  4. Step 4: Simplify right side
    79,680.48x = 3,235,738,682.88
  5. Step 5: Solve for x
    x = 3,235,738,682.88/79,680.48
  6. Step 6: Final answer
    x = 40,608.93

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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.