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Finding the Fourth Proportional to 217,920.15, 326,911.41 and 105,508.08

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Solution

The fourth proportional to 217,920.15, 326,911.41 and 105,508.08 is: 158,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,920.15 : 326,911.41 = 105,508.08 : x
  2. Step 2: Convert to fraction form
    217,920.15/326,911.41 = 105,508.08/x
  3. Step 3: Cross multiply
    217,920.15x = 326,911.41 × 105,508.08
  4. Step 4: Simplify right side
    217,920.15x = 34,491,795,199.19
  5. Step 5: Solve for x
    x = 34,491,795,199.19/217,920.15
  6. Step 6: Final answer
    x = 158,277.22

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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.