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Finding the Fourth Proportional to 78,559.70, 117,839.78 and 19,395.37

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Solution

The fourth proportional to 78,559.70, 117,839.78 and 19,395.37 is: 29,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,559.70 : 117,839.78 = 19,395.37 : x
  2. Step 2: Convert to fraction form
    78,559.70/117,839.78 = 19,395.37/x
  3. Step 3: Cross multiply
    78,559.70x = 117,839.78 × 19,395.37
  4. Step 4: Simplify right side
    78,559.70x = 2,285,546,133.82
  5. Step 5: Solve for x
    x = 2,285,546,133.82/78,559.70
  6. Step 6: Final answer
    x = 29,093.11

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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.