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Finding the Fourth Proportional to 84,814.75, 117,048 and 47,089

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Solution

The fourth proportional to 84,814.75, 117,048 and 47,089 is: 64,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,814.75 : 117,048 = 47,089 : x
  2. Step 2: Convert to fraction form
    84,814.75/117,048 = 47,089/x
  3. Step 3: Cross multiply
    84,814.75x = 117,048 × 47,089
  4. Step 4: Simplify right side
    84,814.75x = 5,511,673,272
  5. Step 5: Solve for x
    x = 5,511,673,272/84,814.75
  6. Step 6: Final answer
    x = 64,984.84

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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.