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Finding the Fourth Proportional to 76,811.67, 115,040.49 and 74,152.08

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Solution

The fourth proportional to 76,811.67, 115,040.49 and 74,152.08 is: 111,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.67 : 115,040.49 = 74,152.08 : x
  2. Step 2: Convert to fraction form
    76,811.67/115,040.49 = 74,152.08/x
  3. Step 3: Cross multiply
    76,811.67x = 115,040.49 × 74,152.08
  4. Step 4: Simplify right side
    76,811.67x = 8,530,491,617.72
  5. Step 5: Solve for x
    x = 8,530,491,617.72/76,811.67
  6. Step 6: Final answer
    x = 111,057.23

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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.