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Finding the Fourth Proportional to 260,736.78, 391,111.92 and 83,243.64

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Solution

The fourth proportional to 260,736.78, 391,111.92 and 83,243.64 is: 124,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,736.78 : 391,111.92 = 83,243.64 : x
  2. Step 2: Convert to fraction form
    260,736.78/391,111.92 = 83,243.64/x
  3. Step 3: Cross multiply
    260,736.78x = 391,111.92 × 83,243.64
  4. Step 4: Simplify right side
    260,736.78x = 32,557,579,868.19
  5. Step 5: Solve for x
    x = 32,557,579,868.19/260,736.78
  6. Step 6: Final answer
    x = 124,867.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.