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Finding the Fourth Proportional to 100,694.13, 138,954.17 and 55,369.42

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Solution

The fourth proportional to 100,694.13, 138,954.17 and 55,369.42 is: 76,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.13 : 138,954.17 = 55,369.42 : x
  2. Step 2: Convert to fraction form
    100,694.13/138,954.17 = 55,369.42/x
  3. Step 3: Cross multiply
    100,694.13x = 138,954.17 × 55,369.42
  4. Step 4: Simplify right side
    100,694.13x = 7,693,811,279.07
  5. Step 5: Solve for x
    x = 7,693,811,279.07/100,694.13
  6. Step 6: Final answer
    x = 76,407.74

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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.