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Finding the Fourth Proportional to 100,141.41, 138,195.32 and 54,819.42

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Solution

The fourth proportional to 100,141.41, 138,195.32 and 54,819.42 is: 75,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,141.41 : 138,195.32 = 54,819.42 : x
  2. Step 2: Convert to fraction form
    100,141.41/138,195.32 = 54,819.42/x
  3. Step 3: Cross multiply
    100,141.41x = 138,195.32 × 54,819.42
  4. Step 4: Simplify right side
    100,141.41x = 7,575,787,289.11
  5. Step 5: Solve for x
    x = 7,575,787,289.11/100,141.41
  6. Step 6: Final answer
    x = 75,650.89

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1.5x scale

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.