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Finding the Fourth Proportional to 275,362.19, 413,067.89 and 85,824.17

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Solution

The fourth proportional to 275,362.19, 413,067.89 and 85,824.17 is: 128,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,362.19 : 413,067.89 = 85,824.17 : x
  2. Step 2: Convert to fraction form
    275,362.19/413,067.89 = 85,824.17/x
  3. Step 3: Cross multiply
    275,362.19x = 413,067.89 × 85,824.17
  4. Step 4: Simplify right side
    275,362.19x = 35,451,208,812.90
  5. Step 5: Solve for x
    x = 35,451,208,812.90/275,362.19
  6. Step 6: Final answer
    x = 128,743.92

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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.