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Finding the Fourth Proportional to 83,693.36, 115,469.04 and 49,712.24

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Solution

The fourth proportional to 83,693.36, 115,469.04 and 49,712.24 is: 68,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,693.36 : 115,469.04 = 49,712.24 : x
  2. Step 2: Convert to fraction form
    83,693.36/115,469.04 = 49,712.24/x
  3. Step 3: Cross multiply
    83,693.36x = 115,469.04 × 49,712.24
  4. Step 4: Simplify right side
    83,693.36x = 5,740,224,629.05
  5. Step 5: Solve for x
    x = 5,740,224,629.05/83,693.36
  6. Step 6: Final answer
    x = 68,586.38

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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.