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Finding the Fourth Proportional to 151,414.44, 208,949.22 and 84,345

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Solution

The fourth proportional to 151,414.44, 208,949.22 and 84,345 is: 116,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,414.44 : 208,949.22 = 84,345 : x
  2. Step 2: Convert to fraction form
    151,414.44/208,949.22 = 84,345/x
  3. Step 3: Cross multiply
    151,414.44x = 208,949.22 × 84,345
  4. Step 4: Simplify right side
    151,414.44x = 17,623,821,960.90
  5. Step 5: Solve for x
    x = 17,623,821,960.90/151,414.44
  6. Step 6: Final answer
    x = 116,394.59

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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.