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Finding the Fourth Proportional to 71,169.20, 106,656.60 and 47,409.20

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Solution

The fourth proportional to 71,169.20, 106,656.60 and 47,409.20 is: 71,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169.20 : 106,656.60 = 47,409.20 : x
  2. Step 2: Convert to fraction form
    71,169.20/106,656.60 = 47,409.20/x
  3. Step 3: Cross multiply
    71,169.20x = 106,656.60 × 47,409.20
  4. Step 4: Simplify right side
    71,169.20x = 5,056,504,080.72
  5. Step 5: Solve for x
    x = 5,056,504,080.72/71,169.20
  6. Step 6: Final answer
    x = 71,049.05

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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.