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Finding the Fourth Proportional to 80,949.75, 111,710.67 and 47,415.75

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Solution

The fourth proportional to 80,949.75, 111,710.67 and 47,415.75 is: 65,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,949.75 : 111,710.67 = 47,415.75 : x
  2. Step 2: Convert to fraction form
    80,949.75/111,710.67 = 47,415.75/x
  3. Step 3: Cross multiply
    80,949.75x = 111,710.67 × 47,415.75
  4. Step 4: Simplify right side
    80,949.75x = 5,296,845,201.05
  5. Step 5: Solve for x
    x = 5,296,845,201.05/80,949.75
  6. Step 6: Final answer
    x = 65,433.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.