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Finding the Fourth Proportional to 279,675.89, 419,232.94 and 89,996.86

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Solution

The fourth proportional to 279,675.89, 419,232.94 and 89,996.86 is: 134,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,675.89 : 419,232.94 = 89,996.86 : x
  2. Step 2: Convert to fraction form
    279,675.89/419,232.94 = 89,996.86/x
  3. Step 3: Cross multiply
    279,675.89x = 419,232.94 × 89,996.86
  4. Step 4: Simplify right side
    279,675.89x = 37,729,646,935.49
  5. Step 5: Solve for x
    x = 37,729,646,935.49/279,675.89
  6. Step 6: Final answer
    x = 134,904.90

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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.