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Finding the Fourth Proportional to 100,189, 138,270.90 and 55,477

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Solution

The fourth proportional to 100,189, 138,270.90 and 55,477 is: 76,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,189 : 138,270.90 = 55,477 : x
  2. Step 2: Convert to fraction form
    100,189/138,270.90 = 55,477/x
  3. Step 3: Cross multiply
    100,189x = 138,270.90 × 55,477
  4. Step 4: Simplify right side
    100,189x = 7,670,854,719.30
  5. Step 5: Solve for x
    x = 7,670,854,719.30/100,189
  6. Step 6: Final answer
    x = 76,563.84

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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.