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Finding the Fourth Proportional to 78,107.33, 117,082.11 and 30,755.66

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Solution

The fourth proportional to 78,107.33, 117,082.11 and 30,755.66 is: 46,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.33 : 117,082.11 = 30,755.66 : x
  2. Step 2: Convert to fraction form
    78,107.33/117,082.11 = 30,755.66/x
  3. Step 3: Cross multiply
    78,107.33x = 117,082.11 × 30,755.66
  4. Step 4: Simplify right side
    78,107.33x = 3,600,936,924.17
  5. Step 5: Solve for x
    x = 3,600,936,924.17/78,107.33
  6. Step 6: Final answer
    x = 46,102.42

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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.