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Finding the Fourth Proportional to 70,443.85, 105,683.06 and 20,524.41

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Solution

The fourth proportional to 70,443.85, 105,683.06 and 20,524.41 is: 30,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,443.85 : 105,683.06 = 20,524.41 : x
  2. Step 2: Convert to fraction form
    70,443.85/105,683.06 = 20,524.41/x
  3. Step 3: Cross multiply
    70,443.85x = 105,683.06 × 20,524.41
  4. Step 4: Simplify right side
    70,443.85x = 2,169,082,504.81
  5. Step 5: Solve for x
    x = 2,169,082,504.81/70,443.85
  6. Step 6: Final answer
    x = 30,791.65

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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.