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Finding the Fourth Proportional to 100,179, 138,251.34 and 55,467

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Solution

The fourth proportional to 100,179, 138,251.34 and 55,467 is: 76,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179 : 138,251.34 = 55,467 : x
  2. Step 2: Convert to fraction form
    100,179/138,251.34 = 55,467/x
  3. Step 3: Cross multiply
    100,179x = 138,251.34 × 55,467
  4. Step 4: Simplify right side
    100,179x = 7,668,387,075.78
  5. Step 5: Solve for x
    x = 7,668,387,075.78/100,179
  6. Step 6: Final answer
    x = 76,546.85

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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.