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Finding the Fourth Proportional to 84,158.73, 116,130.60 and 49,698.09

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Solution

The fourth proportional to 84,158.73, 116,130.60 and 49,698.09 is: 68,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,158.73 : 116,130.60 = 49,698.09 : x
  2. Step 2: Convert to fraction form
    84,158.73/116,130.60 = 49,698.09/x
  3. Step 3: Cross multiply
    84,158.73x = 116,130.60 × 49,698.09
  4. Step 4: Simplify right side
    84,158.73x = 5,771,469,010.55
  5. Step 5: Solve for x
    x = 5,771,469,010.55/84,158.73
  6. Step 6: Final answer
    x = 68,578.38

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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.