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Finding the Fourth Proportional to 78,175.28, 117,250.68 and 25,583.60

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Solution

The fourth proportional to 78,175.28, 117,250.68 and 25,583.60 is: 38,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.28 : 117,250.68 = 25,583.60 : x
  2. Step 2: Convert to fraction form
    78,175.28/117,250.68 = 25,583.60/x
  3. Step 3: Cross multiply
    78,175.28x = 117,250.68 × 25,583.60
  4. Step 4: Simplify right side
    78,175.28x = 2,999,694,496.85
  5. Step 5: Solve for x
    x = 2,999,694,496.85/78,175.28
  6. Step 6: Final answer
    x = 38,371.39

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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.