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Finding the Fourth Proportional to 83,858.06, 125,808.96 and 31,268

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Solution

The fourth proportional to 83,858.06, 125,808.96 and 31,268 is: 46,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858.06 : 125,808.96 = 31,268 : x
  2. Step 2: Convert to fraction form
    83,858.06/125,808.96 = 31,268/x
  3. Step 3: Cross multiply
    83,858.06x = 125,808.96 × 31,268
  4. Step 4: Simplify right side
    83,858.06x = 3,933,794,561.28
  5. Step 5: Solve for x
    x = 3,933,794,561.28/83,858.06
  6. Step 6: Final answer
    x = 46,910.15

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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.