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Finding the Fourth Proportional to 192,712.96, 265,936.38 and 107,830.12

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Solution

The fourth proportional to 192,712.96, 265,936.38 and 107,830.12 is: 148,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,712.96 : 265,936.38 = 107,830.12 : x
  2. Step 2: Convert to fraction form
    192,712.96/265,936.38 = 107,830.12/x
  3. Step 3: Cross multiply
    192,712.96x = 265,936.38 × 107,830.12
  4. Step 4: Simplify right side
    192,712.96x = 28,675,951,767.77
  5. Step 5: Solve for x
    x = 28,675,951,767.77/192,712.96
  6. Step 6: Final answer
    x = 148,801.37

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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.