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Finding the Fourth Proportional to 217,204.33, 325,704.25 and 84,146.89

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Solution

The fourth proportional to 217,204.33, 325,704.25 and 84,146.89 is: 126,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,204.33 : 325,704.25 = 84,146.89 : x
  2. Step 2: Convert to fraction form
    217,204.33/325,704.25 = 84,146.89/x
  3. Step 3: Cross multiply
    217,204.33x = 325,704.25 × 84,146.89
  4. Step 4: Simplify right side
    217,204.33x = 27,406,999,697.28
  5. Step 5: Solve for x
    x = 27,406,999,697.28/217,204.33
  6. Step 6: Final answer
    x = 126,180.72

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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.