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Finding the Fourth Proportional to 84,846.42, 117,086.37 and 47,119.38

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Solution

The fourth proportional to 84,846.42, 117,086.37 and 47,119.38 is: 65,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846.42 : 117,086.37 = 47,119.38 : x
  2. Step 2: Convert to fraction form
    84,846.42/117,086.37 = 47,119.38/x
  3. Step 3: Cross multiply
    84,846.42x = 117,086.37 × 47,119.38
  4. Step 4: Simplify right side
    84,846.42x = 5,517,037,160.85
  5. Step 5: Solve for x
    x = 5,517,037,160.85/84,846.42
  6. Step 6: Final answer
    x = 65,023.81

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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.