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Finding the Fourth Proportional to 126,251.80, 189,377.70 and 47,368.60

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Solution

The fourth proportional to 126,251.80, 189,377.70 and 47,368.60 is: 71,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,251.80 : 189,377.70 = 47,368.60 : x
  2. Step 2: Convert to fraction form
    126,251.80/189,377.70 = 47,368.60/x
  3. Step 3: Cross multiply
    126,251.80x = 189,377.70 × 47,368.60
  4. Step 4: Simplify right side
    126,251.80x = 8,970,556,520.22
  5. Step 5: Solve for x
    x = 8,970,556,520.22/126,251.80
  6. Step 6: Final answer
    x = 71,052.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.