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Finding the Fourth Proportional to 78,540.82, 117,812.44 and 74,553.19

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Solution

The fourth proportional to 78,540.82, 117,812.44 and 74,553.19 is: 111,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.82 : 117,812.44 = 74,553.19 : x
  2. Step 2: Convert to fraction form
    78,540.82/117,812.44 = 74,553.19/x
  3. Step 3: Cross multiply
    78,540.82x = 117,812.44 × 74,553.19
  4. Step 4: Simplify right side
    78,540.82x = 8,783,292,634.62
  5. Step 5: Solve for x
    x = 8,783,292,634.62/78,540.82
  6. Step 6: Final answer
    x = 111,830.93

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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.