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Finding the Fourth Proportional to 100,604.90, 138,827.94 and 55,286.04

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Solution

The fourth proportional to 100,604.90, 138,827.94 and 55,286.04 is: 76,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,604.90 : 138,827.94 = 55,286.04 : x
  2. Step 2: Convert to fraction form
    100,604.90/138,827.94 = 55,286.04/x
  3. Step 3: Cross multiply
    100,604.90x = 138,827.94 × 55,286.04
  4. Step 4: Simplify right side
    100,604.90x = 7,675,247,043.96
  5. Step 5: Solve for x
    x = 7,675,247,043.96/100,604.90
  6. Step 6: Final answer
    x = 76,290.99

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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.