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Finding the Fourth Proportional to 74,427.75, 102,711.92 and 40,893.75

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Solution

The fourth proportional to 74,427.75, 102,711.92 and 40,893.75 is: 56,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,427.75 : 102,711.92 = 40,893.75 : x
  2. Step 2: Convert to fraction form
    74,427.75/102,711.92 = 40,893.75/x
  3. Step 3: Cross multiply
    74,427.75x = 102,711.92 × 40,893.75
  4. Step 4: Simplify right side
    74,427.75x = 4,200,275,578.50
  5. Step 5: Solve for x
    x = 4,200,275,578.50/74,427.75
  6. Step 6: Final answer
    x = 56,434.27

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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.