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Finding the Fourth Proportional to 84,135, 116,107.74 and 54,378.84

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Solution

The fourth proportional to 84,135, 116,107.74 and 54,378.84 is: 75,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135 : 116,107.74 = 54,378.84 : x
  2. Step 2: Convert to fraction form
    84,135/116,107.74 = 54,378.84/x
  3. Step 3: Cross multiply
    84,135x = 116,107.74 × 54,378.84
  4. Step 4: Simplify right side
    84,135x = 6,313,804,216.22
  5. Step 5: Solve for x
    x = 6,313,804,216.22/84,135
  6. Step 6: Final answer
    x = 75,043.73

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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.