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Finding the Fourth Proportional to 100,678.11, 138,939.36 and 55,359.54

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Solution

The fourth proportional to 100,678.11, 138,939.36 and 55,359.54 is: 76,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.11 : 138,939.36 = 55,359.54 : x
  2. Step 2: Convert to fraction form
    100,678.11/138,939.36 = 55,359.54/x
  3. Step 3: Cross multiply
    100,678.11x = 138,939.36 × 55,359.54
  4. Step 4: Simplify right side
    100,678.11x = 7,691,618,849.90
  5. Step 5: Solve for x
    x = 7,691,618,849.90/100,678.11
  6. Step 6: Final answer
    x = 76,398.13

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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.