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Finding the Fourth Proportional to 115,728.60, 173,204.10 and 80,736.60

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Solution

The fourth proportional to 115,728.60, 173,204.10 and 80,736.60 is: 120,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,728.60 : 173,204.10 = 80,736.60 : x
  2. Step 2: Convert to fraction form
    115,728.60/173,204.10 = 80,736.60/x
  3. Step 3: Cross multiply
    115,728.60x = 173,204.10 × 80,736.60
  4. Step 4: Simplify right side
    115,728.60x = 13,983,910,140.06
  5. Step 5: Solve for x
    x = 13,983,910,140.06/115,728.60
  6. Step 6: Final answer
    x = 120,833.66

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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.