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Finding the Fourth Proportional to 78,589.64, 117,884.55 and 19,424.41

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Solution

The fourth proportional to 78,589.64, 117,884.55 and 19,424.41 is: 29,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589.64 : 117,884.55 = 19,424.41 : x
  2. Step 2: Convert to fraction form
    78,589.64/117,884.55 = 19,424.41/x
  3. Step 3: Cross multiply
    78,589.64x = 117,884.55 × 19,424.41
  4. Step 4: Simplify right side
    78,589.64x = 2,289,837,242.44
  5. Step 5: Solve for x
    x = 2,289,837,242.44/78,589.64
  6. Step 6: Final answer
    x = 29,136.63

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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.