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Finding the Fourth Proportional to 54,186.78, 74,745.27 and 34,314.78

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Solution

The fourth proportional to 54,186.78, 74,745.27 and 34,314.78 is: 47,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,186.78 : 74,745.27 = 34,314.78 : x
  2. Step 2: Convert to fraction form
    54,186.78/74,745.27 = 34,314.78/x
  3. Step 3: Cross multiply
    54,186.78x = 74,745.27 × 34,314.78
  4. Step 4: Simplify right side
    54,186.78x = 2,564,867,496.09
  5. Step 5: Solve for x
    x = 2,564,867,496.09/54,186.78
  6. Step 6: Final answer
    x = 47,333.82

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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.