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Finding the Fourth Proportional to 84,828, 117,067.50 and 47,104.68

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Solution

The fourth proportional to 84,828, 117,067.50 and 47,104.68 is: 65,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,828 : 117,067.50 = 47,104.68 : x
  2. Step 2: Convert to fraction form
    84,828/117,067.50 = 47,104.68/x
  3. Step 3: Cross multiply
    84,828x = 117,067.50 × 47,104.68
  4. Step 4: Simplify right side
    84,828x = 5,514,427,125.90
  5. Step 5: Solve for x
    x = 5,514,427,125.90/84,828
  6. Step 6: Final answer
    x = 65,007.16

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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.