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Finding the Fourth Proportional to 100,711.60, 138,982.96 and 54,771.67

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Solution

The fourth proportional to 100,711.60, 138,982.96 and 54,771.67 is: 75,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,711.60 : 138,982.96 = 54,771.67 : x
  2. Step 2: Convert to fraction form
    100,711.60/138,982.96 = 54,771.67/x
  3. Step 3: Cross multiply
    100,711.60x = 138,982.96 × 54,771.67
  4. Step 4: Simplify right side
    100,711.60x = 7,612,328,754.85
  5. Step 5: Solve for x
    x = 7,612,328,754.85/100,711.60
  6. Step 6: Final answer
    x = 75,585.42

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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.