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Finding the Fourth Proportional to 128,107, 192,277.10 and 68,185.78

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Solution

The fourth proportional to 128,107, 192,277.10 and 68,185.78 is: 102,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,107 : 192,277.10 = 68,185.78 : x
  2. Step 2: Convert to fraction form
    128,107/192,277.10 = 68,185.78/x
  3. Step 3: Cross multiply
    128,107x = 192,277.10 × 68,185.78
  4. Step 4: Simplify right side
    128,107x = 13,110,564,039.64
  5. Step 5: Solve for x
    x = 13,110,564,039.64/128,107
  6. Step 6: Final answer
    x = 102,340.73

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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.