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Finding the Fourth Proportional to 217,175.88, 299,699.82 and 121,684.44

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Solution

The fourth proportional to 217,175.88, 299,699.82 and 121,684.44 is: 167,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,175.88 : 299,699.82 = 121,684.44 : x
  2. Step 2: Convert to fraction form
    217,175.88/299,699.82 = 121,684.44/x
  3. Step 3: Cross multiply
    217,175.88x = 299,699.82 × 121,684.44
  4. Step 4: Simplify right side
    217,175.88x = 36,468,804,764.80
  5. Step 5: Solve for x
    x = 36,468,804,764.80/217,175.88
  6. Step 6: Final answer
    x = 167,922.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.