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Finding the Fourth Proportional to 217,389.94, 326,157.84 and 84,274.54

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Solution

The fourth proportional to 217,389.94, 326,157.84 and 84,274.54 is: 126,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,389.94 : 326,157.84 = 84,274.54 : x
  2. Step 2: Convert to fraction form
    217,389.94/326,157.84 = 84,274.54/x
  3. Step 3: Cross multiply
    217,389.94x = 326,157.84 × 84,274.54
  4. Step 4: Simplify right side
    217,389.94x = 27,486,801,933.39
  5. Step 5: Solve for x
    x = 27,486,801,933.39/217,389.94
  6. Step 6: Final answer
    x = 126,440.08

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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.