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Finding the Fourth Proportional to 215,840.24, 323,730.84 and 82,754

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Solution

The fourth proportional to 215,840.24, 323,730.84 and 82,754 is: 124,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840.24 : 323,730.84 = 82,754 : x
  2. Step 2: Convert to fraction form
    215,840.24/323,730.84 = 82,754/x
  3. Step 3: Cross multiply
    215,840.24x = 323,730.84 × 82,754
  4. Step 4: Simplify right side
    215,840.24x = 26,790,021,933.36
  5. Step 5: Solve for x
    x = 26,790,021,933.36/215,840.24
  6. Step 6: Final answer
    x = 124,119.68

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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.