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Finding the Fourth Proportional to 275,357.97, 413,061.55 and 85,819.94

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Solution

The fourth proportional to 275,357.97, 413,061.55 and 85,819.94 is: 128,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,357.97 : 413,061.55 = 85,819.94 : x
  2. Step 2: Convert to fraction form
    275,357.97/413,061.55 = 85,819.94/x
  3. Step 3: Cross multiply
    275,357.97x = 413,061.55 × 85,819.94
  4. Step 4: Simplify right side
    275,357.97x = 35,448,917,437.31
  5. Step 5: Solve for x
    x = 35,448,917,437.31/275,357.97
  6. Step 6: Final answer
    x = 128,737.58

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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.