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Finding the Fourth Proportional to 126,602.60, 189,785.10 and 47,769.80

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Solution

The fourth proportional to 126,602.60, 189,785.10 and 47,769.80 is: 71,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,602.60 : 189,785.10 = 47,769.80 : x
  2. Step 2: Convert to fraction form
    126,602.60/189,785.10 = 47,769.80/x
  3. Step 3: Cross multiply
    126,602.60x = 189,785.10 × 47,769.80
  4. Step 4: Simplify right side
    126,602.60x = 9,065,996,269.98
  5. Step 5: Solve for x
    x = 9,065,996,269.98/126,602.60
  6. Step 6: Final answer
    x = 71,609.87

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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.