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Finding the Fourth Proportional to 128,786.82, 177,812.10 and 80,462.31

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Solution

The fourth proportional to 128,786.82, 177,812.10 and 80,462.31 is: 111,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,786.82 : 177,812.10 = 80,462.31 : x
  2. Step 2: Convert to fraction form
    128,786.82/177,812.10 = 80,462.31/x
  3. Step 3: Cross multiply
    128,786.82x = 177,812.10 × 80,462.31
  4. Step 4: Simplify right side
    128,786.82x = 14,307,172,311.95
  5. Step 5: Solve for x
    x = 14,307,172,311.95/128,786.82
  6. Step 6: Final answer
    x = 111,091.90

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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.