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Finding the Fourth Proportional to 78,589.44, 117,855 and 33,605.28

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Solution

The fourth proportional to 78,589.44, 117,855 and 33,605.28 is: 50,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589.44 : 117,855 = 33,605.28 : x
  2. Step 2: Convert to fraction form
    78,589.44/117,855 = 33,605.28/x
  3. Step 3: Cross multiply
    78,589.44x = 117,855 × 33,605.28
  4. Step 4: Simplify right side
    78,589.44x = 3,960,550,274.40
  5. Step 5: Solve for x
    x = 3,960,550,274.40/78,589.44
  6. Step 6: Final answer
    x = 50,395.45

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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.