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Finding the Fourth Proportional to 217,710.54, 326,690.17 and 84,573.47

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Solution

The fourth proportional to 217,710.54, 326,690.17 and 84,573.47 is: 126,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,710.54 : 326,690.17 = 84,573.47 : x
  2. Step 2: Convert to fraction form
    217,710.54/326,690.17 = 84,573.47/x
  3. Step 3: Cross multiply
    217,710.54x = 326,690.17 × 84,573.47
  4. Step 4: Simplify right side
    217,710.54x = 27,629,321,291.79
  5. Step 5: Solve for x
    x = 27,629,321,291.79/217,710.54
  6. Step 6: Final answer
    x = 126,908.51

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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.