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Finding the Fourth Proportional to 215,915.74, 323,915.12 and 82,785.61

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Solution

The fourth proportional to 215,915.74, 323,915.12 and 82,785.61 is: 124,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.74 : 323,915.12 = 82,785.61 : x
  2. Step 2: Convert to fraction form
    215,915.74/323,915.12 = 82,785.61/x
  3. Step 3: Cross multiply
    215,915.74x = 323,915.12 × 82,785.61
  4. Step 4: Simplify right side
    215,915.74x = 26,815,510,696.46
  5. Step 5: Solve for x
    x = 26,815,510,696.46/215,915.74
  6. Step 6: Final answer
    x = 124,194.33

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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.