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Finding the Fourth Proportional to 100,149, 138,205.62 and 54,826.84

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Solution

The fourth proportional to 100,149, 138,205.62 and 54,826.84 is: 75,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,149 : 138,205.62 = 54,826.84 : x
  2. Step 2: Convert to fraction form
    100,149/138,205.62 = 54,826.84/x
  3. Step 3: Cross multiply
    100,149x = 138,205.62 × 54,826.84
  4. Step 4: Simplify right side
    100,149x = 7,577,377,414.84
  5. Step 5: Solve for x
    x = 7,577,377,414.84/100,149
  6. Step 6: Final answer
    x = 75,661.04

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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.