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Finding the Fourth Proportional to 217,633.80, 326,253.74 and 77,359.62

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Solution

The fourth proportional to 217,633.80, 326,253.74 and 77,359.62 is: 115,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,633.80 : 326,253.74 = 77,359.62 : x
  2. Step 2: Convert to fraction form
    217,633.80/326,253.74 = 77,359.62/x
  3. Step 3: Cross multiply
    217,633.80x = 326,253.74 × 77,359.62
  4. Step 4: Simplify right side
    217,633.80x = 25,238,864,963.18
  5. Step 5: Solve for x
    x = 25,238,864,963.18/217,633.80
  6. Step 6: Final answer
    x = 115,969.42

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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.