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Finding the Fourth Proportional to 54,864, 75,712.32 and 29,713.68

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Solution

The fourth proportional to 54,864, 75,712.32 and 29,713.68 is: 41,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864 : 75,712.32 = 29,713.68 : x
  2. Step 2: Convert to fraction form
    54,864/75,712.32 = 29,713.68/x
  3. Step 3: Cross multiply
    54,864x = 75,712.32 × 29,713.68
  4. Step 4: Simplify right side
    54,864x = 2,249,691,648.54
  5. Step 5: Solve for x
    x = 2,249,691,648.54/54,864
  6. Step 6: Final answer
    x = 41,004.88

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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.