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Finding the Fourth Proportional to 83,407, 115,102.47 and 49,873

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Solution

The fourth proportional to 83,407, 115,102.47 and 49,873 is: 68,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407 : 115,102.47 = 49,873 : x
  2. Step 2: Convert to fraction form
    83,407/115,102.47 = 49,873/x
  3. Step 3: Cross multiply
    83,407x = 115,102.47 × 49,873
  4. Step 4: Simplify right side
    83,407x = 5,740,505,486.31
  5. Step 5: Solve for x
    x = 5,740,505,486.31/83,407
  6. Step 6: Final answer
    x = 68,825.22

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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.