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Finding the Fourth Proportional to 215,930.88, 323,943.71 and 66,182.43

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Solution

The fourth proportional to 215,930.88, 323,943.71 and 66,182.43 is: 99,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,930.88 : 323,943.71 = 66,182.43 : x
  2. Step 2: Convert to fraction form
    215,930.88/323,943.71 = 66,182.43/x
  3. Step 3: Cross multiply
    215,930.88x = 323,943.71 × 66,182.43
  4. Step 4: Simplify right side
    215,930.88x = 21,439,382,794.89
  5. Step 5: Solve for x
    x = 21,439,382,794.89/215,930.88
  6. Step 6: Final answer
    x = 99,288.17

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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.