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Finding the Fourth Proportional to 215,978.40, 323,957.88 and 82,833.84

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Solution

The fourth proportional to 215,978.40, 323,957.88 and 82,833.84 is: 124,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,978.40 : 323,957.88 = 82,833.84 : x
  2. Step 2: Convert to fraction form
    215,978.40/323,957.88 = 82,833.84/x
  3. Step 3: Cross multiply
    215,978.40x = 323,957.88 × 82,833.84
  4. Step 4: Simplify right side
    215,978.40x = 26,834,675,198.66
  5. Step 5: Solve for x
    x = 26,834,675,198.66/215,978.40
  6. Step 6: Final answer
    x = 124,247.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.