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Finding the Fourth Proportional to 140,947.71, 211,389.20 and 84,037.71

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Solution

The fourth proportional to 140,947.71, 211,389.20 and 84,037.71 is: 126,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,947.71 : 211,389.20 = 84,037.71 : x
  2. Step 2: Convert to fraction form
    140,947.71/211,389.20 = 84,037.71/x
  3. Step 3: Cross multiply
    140,947.71x = 211,389.20 × 84,037.71
  4. Step 4: Simplify right side
    140,947.71x = 17,764,664,286.73
  5. Step 5: Solve for x
    x = 17,764,664,286.73/140,947.71
  6. Step 6: Final answer
    x = 126,037.27

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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.