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Finding the Fourth Proportional to 217,857.66, 326,646.63 and 84,595.92

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Solution

The fourth proportional to 217,857.66, 326,646.63 and 84,595.92 is: 126,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,857.66 : 326,646.63 = 84,595.92 : x
  2. Step 2: Convert to fraction form
    217,857.66/326,646.63 = 84,595.92/x
  3. Step 3: Cross multiply
    217,857.66x = 326,646.63 × 84,595.92
  4. Step 4: Simplify right side
    217,857.66x = 27,632,972,179.75
  5. Step 5: Solve for x
    x = 27,632,972,179.75/217,857.66
  6. Step 6: Final answer
    x = 126,839.57

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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.