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Finding the Fourth Proportional to 215,942.40, 323,816.40 and 82,778.40

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Solution

The fourth proportional to 215,942.40, 323,816.40 and 82,778.40 is: 124,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,942.40 : 323,816.40 = 82,778.40 : x
  2. Step 2: Convert to fraction form
    215,942.40/323,816.40 = 82,778.40/x
  3. Step 3: Cross multiply
    215,942.40x = 323,816.40 × 82,778.40
  4. Step 4: Simplify right side
    215,942.40x = 26,805,003,485.76
  5. Step 5: Solve for x
    x = 26,805,003,485.76/215,942.40
  6. Step 6: Final answer
    x = 124,130.34

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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.