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Finding the Fourth Proportional to 217,884.94, 326,839.71 and 77,643.56

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Solution

The fourth proportional to 217,884.94, 326,839.71 and 77,643.56 is: 116,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,884.94 : 326,839.71 = 77,643.56 : x
  2. Step 2: Convert to fraction form
    217,884.94/326,839.71 = 77,643.56/x
  3. Step 3: Cross multiply
    217,884.94x = 326,839.71 × 77,643.56
  4. Step 4: Simplify right side
    217,884.94x = 25,376,999,305.29
  5. Step 5: Solve for x
    x = 25,376,999,305.29/217,884.94
  6. Step 6: Final answer
    x = 116,469.73

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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.