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Finding the Fourth Proportional to 108,230.70, 149,405.78 and 82,738.13

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Solution

The fourth proportional to 108,230.70, 149,405.78 and 82,738.13 is: 114,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,230.70 : 149,405.78 = 82,738.13 : x
  2. Step 2: Convert to fraction form
    108,230.70/149,405.78 = 82,738.13/x
  3. Step 3: Cross multiply
    108,230.70x = 149,405.78 × 82,738.13
  4. Step 4: Simplify right side
    108,230.70x = 12,361,555,428.75
  5. Step 5: Solve for x
    x = 12,361,555,428.75/108,230.70
  6. Step 6: Final answer
    x = 114,214.87

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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.