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Finding the Fourth Proportional to 78,680.14, 117,936.14 and 31,229.54

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Solution

The fourth proportional to 78,680.14, 117,936.14 and 31,229.54 is: 46,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680.14 : 117,936.14 = 31,229.54 : x
  2. Step 2: Convert to fraction form
    78,680.14/117,936.14 = 31,229.54/x
  3. Step 3: Cross multiply
    78,680.14x = 117,936.14 × 31,229.54
  4. Step 4: Simplify right side
    78,680.14x = 3,683,091,401.58
  5. Step 5: Solve for x
    x = 3,683,091,401.58/78,680.14
  6. Step 6: Final answer
    x = 46,810.94

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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.