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Finding the Fourth Proportional to 215,424.70, 323,139.39 and 75,183.82

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Solution

The fourth proportional to 215,424.70, 323,139.39 and 75,183.82 is: 112,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424.70 : 323,139.39 = 75,183.82 : x
  2. Step 2: Convert to fraction form
    215,424.70/323,139.39 = 75,183.82/x
  3. Step 3: Cross multiply
    215,424.70x = 323,139.39 × 75,183.82
  4. Step 4: Simplify right side
    215,424.70x = 24,294,853,732.67
  5. Step 5: Solve for x
    x = 24,294,853,732.67/215,424.70
  6. Step 6: Final answer
    x = 112,776.55

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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.