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Finding the Fourth Proportional to 74,138, 102,310.44 and 47,642

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Solution

The fourth proportional to 74,138, 102,310.44 and 47,642 is: 65,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138 : 102,310.44 = 47,642 : x
  2. Step 2: Convert to fraction form
    74,138/102,310.44 = 47,642/x
  3. Step 3: Cross multiply
    74,138x = 102,310.44 × 47,642
  4. Step 4: Simplify right side
    74,138x = 4,874,273,982.48
  5. Step 5: Solve for x
    x = 4,874,273,982.48/74,138
  6. Step 6: Final answer
    x = 65,745.96

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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.