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Finding the Fourth Proportional to 217,893.56, 326,861.58 and 84,784.64

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Solution

The fourth proportional to 217,893.56, 326,861.58 and 84,784.64 is: 127,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,893.56 : 326,861.58 = 84,784.64 : x
  2. Step 2: Convert to fraction form
    217,893.56/326,861.58 = 84,784.64/x
  3. Step 3: Cross multiply
    217,893.56x = 326,861.58 × 84,784.64
  4. Step 4: Simplify right side
    217,893.56x = 27,712,841,390.13
  5. Step 5: Solve for x
    x = 27,712,841,390.13/217,893.56
  6. Step 6: Final answer
    x = 127,185.22

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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.