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Finding the Fourth Proportional to 279,888.24, 419,735.16 and 92,856

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Solution

The fourth proportional to 279,888.24, 419,735.16 and 92,856 is: 139,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,888.24 : 419,735.16 = 92,856 : x
  2. Step 2: Convert to fraction form
    279,888.24/419,735.16 = 92,856/x
  3. Step 3: Cross multiply
    279,888.24x = 419,735.16 × 92,856
  4. Step 4: Simplify right side
    279,888.24x = 38,974,928,016.96
  5. Step 5: Solve for x
    x = 38,974,928,016.96/279,888.24
  6. Step 6: Final answer
    x = 139,251.75

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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.