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Finding the Fourth Proportional to 217,911.80, 326,916.30 and 84,780.20

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Solution

The fourth proportional to 217,911.80, 326,916.30 and 84,780.20 is: 127,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,911.80 : 326,916.30 = 84,780.20 : x
  2. Step 2: Convert to fraction form
    217,911.80/326,916.30 = 84,780.20/x
  3. Step 3: Cross multiply
    217,911.80x = 326,916.30 × 84,780.20
  4. Step 4: Simplify right side
    217,911.80x = 27,716,029,297.26
  5. Step 5: Solve for x
    x = 27,716,029,297.26/217,911.80
  6. Step 6: Final answer
    x = 127,189.21

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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.