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Finding the Fourth Proportional to 215,099.40, 322,658.70 and 82,043.40

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Solution

The fourth proportional to 215,099.40, 322,658.70 and 82,043.40 is: 123,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,099.40 : 322,658.70 = 82,043.40 : x
  2. Step 2: Convert to fraction form
    215,099.40/322,658.70 = 82,043.40/x
  3. Step 3: Cross multiply
    215,099.40x = 322,658.70 × 82,043.40
  4. Step 4: Simplify right side
    215,099.40x = 26,472,016,787.58
  5. Step 5: Solve for x
    x = 26,472,016,787.58/215,099.40
  6. Step 6: Final answer
    x = 123,068.76

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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.