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Finding the Fourth Proportional to 217,688.76, 326,471.31 and 84,540.60

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Solution

The fourth proportional to 217,688.76, 326,471.31 and 84,540.60 is: 126,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,688.76 : 326,471.31 = 84,540.60 : x
  2. Step 2: Convert to fraction form
    217,688.76/326,471.31 = 84,540.60/x
  3. Step 3: Cross multiply
    217,688.76x = 326,471.31 × 84,540.60
  4. Step 4: Simplify right side
    217,688.76x = 27,600,080,430.19
  5. Step 5: Solve for x
    x = 27,600,080,430.19/217,688.76
  6. Step 6: Final answer
    x = 126,786.89

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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.