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Finding the Fourth Proportional to 215,751.42, 323,629.89 and 82,639.68

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Solution

The fourth proportional to 215,751.42, 323,629.89 and 82,639.68 is: 123,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,751.42 : 323,629.89 = 82,639.68 : x
  2. Step 2: Convert to fraction form
    215,751.42/323,629.89 = 82,639.68/x
  3. Step 3: Cross multiply
    215,751.42x = 323,629.89 × 82,639.68
  4. Step 4: Simplify right side
    215,751.42x = 26,744,670,548.04
  5. Step 5: Solve for x
    x = 26,744,670,548.04/215,751.42
  6. Step 6: Final answer
    x = 123,960.58

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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.