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Finding the Fourth Proportional to 100,398.53, 138,553.79 and 55,078.40

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Solution

The fourth proportional to 100,398.53, 138,553.79 and 55,078.40 is: 76,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.53 : 138,553.79 = 55,078.40 : x
  2. Step 2: Convert to fraction form
    100,398.53/138,553.79 = 55,078.40/x
  3. Step 3: Cross multiply
    100,398.53x = 138,553.79 × 55,078.40
  4. Step 4: Simplify right side
    100,398.53x = 7,631,320,098.98
  5. Step 5: Solve for x
    x = 7,631,320,098.98/100,398.53
  6. Step 6: Final answer
    x = 76,010.28

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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.