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Finding the Fourth Proportional to 217,342.78, 325,986.48 and 84,131.90

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Solution

The fourth proportional to 217,342.78, 325,986.48 and 84,131.90 is: 126,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,342.78 : 325,986.48 = 84,131.90 : x
  2. Step 2: Convert to fraction form
    217,342.78/325,986.48 = 84,131.90/x
  3. Step 3: Cross multiply
    217,342.78x = 325,986.48 × 84,131.90
  4. Step 4: Simplify right side
    217,342.78x = 27,425,861,936.71
  5. Step 5: Solve for x
    x = 27,425,861,936.71/217,342.78
  6. Step 6: Final answer
    x = 126,187.13

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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.