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Finding the Fourth Proportional to 74,302.26, 111,453 and 18,142.68

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Solution

The fourth proportional to 74,302.26, 111,453 and 18,142.68 is: 27,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,302.26 : 111,453 = 18,142.68 : x
  2. Step 2: Convert to fraction form
    74,302.26/111,453 = 18,142.68/x
  3. Step 3: Cross multiply
    74,302.26x = 111,453 × 18,142.68
  4. Step 4: Simplify right side
    74,302.26x = 2,022,056,114.04
  5. Step 5: Solve for x
    x = 2,022,056,114.04/74,302.26
  6. Step 6: Final answer
    x = 27,213.92

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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.