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Finding the Fourth Proportional to 216,102.12, 323,747.64 and 82,891.95

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Solution

The fourth proportional to 216,102.12, 323,747.64 and 82,891.95 is: 124,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,102.12 : 323,747.64 = 82,891.95 : x
  2. Step 2: Convert to fraction form
    216,102.12/323,747.64 = 82,891.95/x
  3. Step 3: Cross multiply
    216,102.12x = 323,747.64 × 82,891.95
  4. Step 4: Simplify right side
    216,102.12x = 26,836,073,187.50
  5. Step 5: Solve for x
    x = 26,836,073,187.50/216,102.12
  6. Step 6: Final answer
    x = 124,182.37

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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.