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Finding the Fourth Proportional to 79,788.47, 109,309.75 and 76,797.14

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Solution

The fourth proportional to 79,788.47, 109,309.75 and 76,797.14 is: 105,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,788.47 : 109,309.75 = 76,797.14 : x
  2. Step 2: Convert to fraction form
    79,788.47/109,309.75 = 76,797.14/x
  3. Step 3: Cross multiply
    79,788.47x = 109,309.75 × 76,797.14
  4. Step 4: Simplify right side
    79,788.47x = 8,394,675,435.57
  5. Step 5: Solve for x
    x = 8,394,675,435.57/79,788.47
  6. Step 6: Final answer
    x = 105,211.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.