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Finding the Fourth Proportional to 78,559.46, 117,839.43 and 19,395.14

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Solution

The fourth proportional to 78,559.46, 117,839.43 and 19,395.14 is: 29,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,559.46 : 117,839.43 = 19,395.14 : x
  2. Step 2: Convert to fraction form
    78,559.46/117,839.43 = 19,395.14/x
  3. Step 3: Cross multiply
    78,559.46x = 117,839.43 × 19,395.14
  4. Step 4: Simplify right side
    78,559.46x = 2,285,511,653.17
  5. Step 5: Solve for x
    x = 2,285,511,653.17/78,559.46
  6. Step 6: Final answer
    x = 29,092.76

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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.