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Finding the Fourth Proportional to 120,720, 166,593.60 and 78,278.85

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Solution

The fourth proportional to 120,720, 166,593.60 and 78,278.85 is: 108,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,720 : 166,593.60 = 78,278.85 : x
  2. Step 2: Convert to fraction form
    120,720/166,593.60 = 78,278.85/x
  3. Step 3: Cross multiply
    120,720x = 166,593.60 × 78,278.85
  4. Step 4: Simplify right side
    120,720x = 13,040,755,425.36
  5. Step 5: Solve for x
    x = 13,040,755,425.36/120,720
  6. Step 6: Final answer
    x = 108,024.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.