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Finding the Fourth Proportional to 74,265.96, 111,403.74 and 21,671

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Solution

The fourth proportional to 74,265.96, 111,403.74 and 21,671 is: 32,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,265.96 : 111,403.74 = 21,671 : x
  2. Step 2: Convert to fraction form
    74,265.96/111,403.74 = 21,671/x
  3. Step 3: Cross multiply
    74,265.96x = 111,403.74 × 21,671
  4. Step 4: Simplify right side
    74,265.96x = 2,414,230,449.54
  5. Step 5: Solve for x
    x = 2,414,230,449.54/74,265.96
  6. Step 6: Final answer
    x = 32,507.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.