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Finding the Fourth Proportional to 217,671.49, 300,348.16 and 132,815.89

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Solution

The fourth proportional to 217,671.49, 300,348.16 and 132,815.89 is: 183,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,671.49 : 300,348.16 = 132,815.89 : x
  2. Step 2: Convert to fraction form
    217,671.49/300,348.16 = 132,815.89/x
  3. Step 3: Cross multiply
    217,671.49x = 300,348.16 × 132,815.89
  4. Step 4: Simplify right side
    217,671.49x = 39,891,008,180.26
  5. Step 5: Solve for x
    x = 39,891,008,180.26/217,671.49
  6. Step 6: Final answer
    x = 183,262.44

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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.