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Finding the Fourth Proportional to 76,729.78, 115,061.67 and 26,794.90

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Solution

The fourth proportional to 76,729.78, 115,061.67 and 26,794.90 is: 40,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729.78 : 115,061.67 = 26,794.90 : x
  2. Step 2: Convert to fraction form
    76,729.78/115,061.67 = 26,794.90/x
  3. Step 3: Cross multiply
    76,729.78x = 115,061.67 × 26,794.90
  4. Step 4: Simplify right side
    76,729.78x = 3,083,065,941.48
  5. Step 5: Solve for x
    x = 3,083,065,941.48/76,729.78
  6. Step 6: Final answer
    x = 40,180.83

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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.