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Finding the Fourth Proportional to 79,692.78, 109,975.20 and 47,449.50

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Solution

The fourth proportional to 79,692.78, 109,975.20 and 47,449.50 is: 65,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,692.78 : 109,975.20 = 47,449.50 : x
  2. Step 2: Convert to fraction form
    79,692.78/109,975.20 = 47,449.50/x
  3. Step 3: Cross multiply
    79,692.78x = 109,975.20 × 47,449.50
  4. Step 4: Simplify right side
    79,692.78x = 5,218,268,252.40
  5. Step 5: Solve for x
    x = 5,218,268,252.40/79,692.78
  6. Step 6: Final answer
    x = 65,479.81

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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.