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Finding the Fourth Proportional to 217,948.80, 326,971.80 and 84,817.20

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Solution

The fourth proportional to 217,948.80, 326,971.80 and 84,817.20 is: 127,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,948.80 : 326,971.80 = 84,817.20 : x
  2. Step 2: Convert to fraction form
    217,948.80/326,971.80 = 84,817.20/x
  3. Step 3: Cross multiply
    217,948.80x = 326,971.80 × 84,817.20
  4. Step 4: Simplify right side
    217,948.80x = 27,732,832,554.96
  5. Step 5: Solve for x
    x = 27,732,832,554.96/217,948.80
  6. Step 6: Final answer
    x = 127,244.71

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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.