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Finding the Fourth Proportional to 275,664.94, 413,508.35 and 86,252.52

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Solution

The fourth proportional to 275,664.94, 413,508.35 and 86,252.52 is: 129,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,664.94 : 413,508.35 = 86,252.52 : x
  2. Step 2: Convert to fraction form
    275,664.94/413,508.35 = 86,252.52/x
  3. Step 3: Cross multiply
    275,664.94x = 413,508.35 × 86,252.52
  4. Step 4: Simplify right side
    275,664.94x = 35,666,137,228.54
  5. Step 5: Solve for x
    x = 35,666,137,228.54/275,664.94
  6. Step 6: Final answer
    x = 129,382.20

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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.