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Finding the Fourth Proportional to 217,815.76, 326,711.88 and 68,038.86

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Solution

The fourth proportional to 217,815.76, 326,711.88 and 68,038.86 is: 102,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,815.76 : 326,711.88 = 68,038.86 : x
  2. Step 2: Convert to fraction form
    217,815.76/326,711.88 = 68,038.86/x
  3. Step 3: Cross multiply
    217,815.76x = 326,711.88 × 68,038.86
  4. Step 4: Simplify right side
    217,815.76x = 22,229,103,863.66
  5. Step 5: Solve for x
    x = 22,229,103,863.66/217,815.76
  6. Step 6: Final answer
    x = 102,054.62

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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.