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Finding the Fourth Proportional to 74,286.64, 111,418 and 21,683.80

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Solution

The fourth proportional to 74,286.64, 111,418 and 21,683.80 is: 32,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,286.64 : 111,418 = 21,683.80 : x
  2. Step 2: Convert to fraction form
    74,286.64/111,418 = 21,683.80/x
  3. Step 3: Cross multiply
    74,286.64x = 111,418 × 21,683.80
  4. Step 4: Simplify right side
    74,286.64x = 2,415,965,628.40
  5. Step 5: Solve for x
    x = 2,415,965,628.40/74,286.64
  6. Step 6: Final answer
    x = 32,522.21

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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.