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Finding the Fourth Proportional to 78,408.77, 117,764.42 and 67,189.46

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Solution

The fourth proportional to 78,408.77, 117,764.42 and 67,189.46 is: 100,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.77 : 117,764.42 = 67,189.46 : x
  2. Step 2: Convert to fraction form
    78,408.77/117,764.42 = 67,189.46/x
  3. Step 3: Cross multiply
    78,408.77x = 117,764.42 × 67,189.46
  4. Step 4: Simplify right side
    78,408.77x = 7,912,526,862.24
  5. Step 5: Solve for x
    x = 7,912,526,862.24/78,408.77
  6. Step 6: Final answer
    x = 100,913.81

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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.