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Finding the Fourth Proportional to 79,538.94, 109,722.24 and 49,314.60

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Solution

The fourth proportional to 79,538.94, 109,722.24 and 49,314.60 is: 68,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,538.94 : 109,722.24 = 49,314.60 : x
  2. Step 2: Convert to fraction form
    79,538.94/109,722.24 = 49,314.60/x
  3. Step 3: Cross multiply
    79,538.94x = 109,722.24 × 49,314.60
  4. Step 4: Simplify right side
    79,538.94x = 5,410,908,376.70
  5. Step 5: Solve for x
    x = 5,410,908,376.70/79,538.94
  6. Step 6: Final answer
    x = 68,028.42

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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.