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Finding the Fourth Proportional to 279,677.89, 419,235.94 and 89,998.86

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Solution

The fourth proportional to 279,677.89, 419,235.94 and 89,998.86 is: 134,907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,677.89 : 419,235.94 = 89,998.86 : x
  2. Step 2: Convert to fraction form
    279,677.89/419,235.94 = 89,998.86/x
  3. Step 3: Cross multiply
    279,677.89x = 419,235.94 × 89,998.86
  4. Step 4: Simplify right side
    279,677.89x = 37,730,756,671.03
  5. Step 5: Solve for x
    x = 37,730,756,671.03/279,677.89
  6. Step 6: Final answer
    x = 134,907.90

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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.