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Finding the Fourth Proportional to 279,804.72, 419,616.36 and 92,766

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Solution

The fourth proportional to 279,804.72, 419,616.36 and 92,766 is: 139,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,804.72 : 419,616.36 = 92,766 : x
  2. Step 2: Convert to fraction form
    279,804.72/419,616.36 = 92,766/x
  3. Step 3: Cross multiply
    279,804.72x = 419,616.36 × 92,766
  4. Step 4: Simplify right side
    279,804.72x = 38,926,131,251.76
  5. Step 5: Solve for x
    x = 38,926,131,251.76/279,804.72
  6. Step 6: Final answer
    x = 139,118.92

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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.