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Finding the Fourth Proportional to 74,761.76, 103,172 and 41,228.96

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Solution

The fourth proportional to 74,761.76, 103,172 and 41,228.96 is: 56,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,761.76 : 103,172 = 41,228.96 : x
  2. Step 2: Convert to fraction form
    74,761.76/103,172 = 41,228.96/x
  3. Step 3: Cross multiply
    74,761.76x = 103,172 × 41,228.96
  4. Step 4: Simplify right side
    74,761.76x = 4,253,674,261.12
  5. Step 5: Solve for x
    x = 4,253,674,261.12/74,761.76
  6. Step 6: Final answer
    x = 56,896.39

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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.