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Finding the Fourth Proportional to 84,879.12, 117,212 and 54,735

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Solution

The fourth proportional to 84,879.12, 117,212 and 54,735 is: 75,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,879.12 : 117,212 = 54,735 : x
  2. Step 2: Convert to fraction form
    84,879.12/117,212 = 54,735/x
  3. Step 3: Cross multiply
    84,879.12x = 117,212 × 54,735
  4. Step 4: Simplify right side
    84,879.12x = 6,415,598,820
  5. Step 5: Solve for x
    x = 6,415,598,820/84,879.12
  6. Step 6: Final answer
    x = 75,585.12

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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.