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Finding the Fourth Proportional to 84,830.44, 117,069.54 and 47,105

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Solution

The fourth proportional to 84,830.44, 117,069.54 and 47,105 is: 65,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,830.44 : 117,069.54 = 47,105 : x
  2. Step 2: Convert to fraction form
    84,830.44/117,069.54 = 47,105/x
  3. Step 3: Cross multiply
    84,830.44x = 117,069.54 × 47,105
  4. Step 4: Simplify right side
    84,830.44x = 5,514,560,681.70
  5. Step 5: Solve for x
    x = 5,514,560,681.70/84,830.44
  6. Step 6: Final answer
    x = 65,006.86

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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.