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Finding the Fourth Proportional to 215,800.80, 323,547.60 and 82,629.60

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Solution

The fourth proportional to 215,800.80, 323,547.60 and 82,629.60 is: 123,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,800.80 : 323,547.60 = 82,629.60 : x
  2. Step 2: Convert to fraction form
    215,800.80/323,547.60 = 82,629.60/x
  3. Step 3: Cross multiply
    215,800.80x = 323,547.60 × 82,629.60
  4. Step 4: Simplify right side
    215,800.80x = 26,734,608,768.96
  5. Step 5: Solve for x
    x = 26,734,608,768.96/215,800.80
  6. Step 6: Final answer
    x = 123,885.59

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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.