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Finding the Fourth Proportional to 209,357.73, 313,786.42 and 76,081.95

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Solution

The fourth proportional to 209,357.73, 313,786.42 and 76,081.95 is: 114,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.73 : 313,786.42 = 76,081.95 : x
  2. Step 2: Convert to fraction form
    209,357.73/313,786.42 = 76,081.95/x
  3. Step 3: Cross multiply
    209,357.73x = 313,786.42 × 76,081.95
  4. Step 4: Simplify right side
    209,357.73x = 23,873,482,526.91
  5. Step 5: Solve for x
    x = 23,873,482,526.91/209,357.73
  6. Step 6: Final answer
    x = 114,032.01

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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.