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Finding the Fourth Proportional to 54,138, 74,717.64 and 31,782

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Solution

The fourth proportional to 54,138, 74,717.64 and 31,782 is: 43,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138 : 74,717.64 = 31,782 : x
  2. Step 2: Convert to fraction form
    54,138/74,717.64 = 31,782/x
  3. Step 3: Cross multiply
    54,138x = 74,717.64 × 31,782
  4. Step 4: Simplify right side
    54,138x = 2,374,676,034.48
  5. Step 5: Solve for x
    x = 2,374,676,034.48/54,138
  6. Step 6: Final answer
    x = 43,863.39

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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.