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Finding the Fourth Proportional to 84,857.56, 117,107.58 and 47,131

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Solution

The fourth proportional to 84,857.56, 117,107.58 and 47,131 is: 65,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,857.56 : 117,107.58 = 47,131 : x
  2. Step 2: Convert to fraction form
    84,857.56/117,107.58 = 47,131/x
  3. Step 3: Cross multiply
    84,857.56x = 117,107.58 × 47,131
  4. Step 4: Simplify right side
    84,857.56x = 5,519,397,352.98
  5. Step 5: Solve for x
    x = 5,519,397,352.98/84,857.56
  6. Step 6: Final answer
    x = 65,043.08

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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.