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Finding the Fourth Proportional to 72,414.30, 108,606.60 and 27,420.14

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Solution

The fourth proportional to 72,414.30, 108,606.60 and 27,420.14 is: 41,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414.30 : 108,606.60 = 27,420.14 : x
  2. Step 2: Convert to fraction form
    72,414.30/108,606.60 = 27,420.14/x
  3. Step 3: Cross multiply
    72,414.30x = 108,606.60 × 27,420.14
  4. Step 4: Simplify right side
    72,414.30x = 2,978,008,176.92
  5. Step 5: Solve for x
    x = 2,978,008,176.92/72,414.30
  6. Step 6: Final answer
    x = 41,124.59

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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.