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Finding the Fourth Proportional to 76,879.95, 115,315.82 and 20,719.15

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Solution

The fourth proportional to 76,879.95, 115,315.82 and 20,719.15 is: 31,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,879.95 : 115,315.82 = 20,719.15 : x
  2. Step 2: Convert to fraction form
    76,879.95/115,315.82 = 20,719.15/x
  3. Step 3: Cross multiply
    76,879.95x = 115,315.82 × 20,719.15
  4. Step 4: Simplify right side
    76,879.95x = 2,389,245,771.95
  5. Step 5: Solve for x
    x = 2,389,245,771.95/76,879.95
  6. Step 6: Final answer
    x = 31,077.62

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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.