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Finding the Fourth Proportional to 70,441.80, 105,468.30 and 54,889.80

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Solution

The fourth proportional to 70,441.80, 105,468.30 and 54,889.80 is: 82,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441.80 : 105,468.30 = 54,889.80 : x
  2. Step 2: Convert to fraction form
    70,441.80/105,468.30 = 54,889.80/x
  3. Step 3: Cross multiply
    70,441.80x = 105,468.30 × 54,889.80
  4. Step 4: Simplify right side
    70,441.80x = 5,789,133,893.34
  5. Step 5: Solve for x
    x = 5,789,133,893.34/70,441.80
  6. Step 6: Final answer
    x = 82,183.22

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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.