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Finding the Fourth Proportional to 100,569.88, 138,786.54 and 55,857.88

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Solution

The fourth proportional to 100,569.88, 138,786.54 and 55,857.88 is: 77,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569.88 : 138,786.54 = 55,857.88 : x
  2. Step 2: Convert to fraction form
    100,569.88/138,786.54 = 55,857.88/x
  3. Step 3: Cross multiply
    100,569.88x = 138,786.54 × 55,857.88
  4. Step 4: Simplify right side
    100,569.88x = 7,752,321,896.94
  5. Step 5: Solve for x
    x = 7,752,321,896.94/100,569.88
  6. Step 6: Final answer
    x = 77,083.93

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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.