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Finding the Fourth Proportional to 84,907, 117,174.04 and 50,921

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Solution

The fourth proportional to 84,907, 117,174.04 and 50,921 is: 70,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,907 : 117,174.04 = 50,921 : x
  2. Step 2: Convert to fraction form
    84,907/117,174.04 = 50,921/x
  3. Step 3: Cross multiply
    84,907x = 117,174.04 × 50,921
  4. Step 4: Simplify right side
    84,907x = 5,966,619,290.84
  5. Step 5: Solve for x
    x = 5,966,619,290.84/84,907
  6. Step 6: Final answer
    x = 70,272.41

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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.