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Finding the Fourth Proportional to 128,072, 192,109.08 and 44,966

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Solution

The fourth proportional to 128,072, 192,109.08 and 44,966 is: 67,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,072 : 192,109.08 = 44,966 : x
  2. Step 2: Convert to fraction form
    128,072/192,109.08 = 44,966/x
  3. Step 3: Cross multiply
    128,072x = 192,109.08 × 44,966
  4. Step 4: Simplify right side
    128,072x = 8,638,376,891.28
  5. Step 5: Solve for x
    x = 8,638,376,891.28/128,072
  6. Step 6: Final answer
    x = 67,449.38

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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.