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Finding the Fourth Proportional to 149,453.50, 206,241.70 and 81,471.80

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Solution

The fourth proportional to 149,453.50, 206,241.70 and 81,471.80 is: 112,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,453.50 : 206,241.70 = 81,471.80 : x
  2. Step 2: Convert to fraction form
    149,453.50/206,241.70 = 81,471.80/x
  3. Step 3: Cross multiply
    149,453.50x = 206,241.70 × 81,471.80
  4. Step 4: Simplify right side
    149,453.50x = 16,802,882,534.06
  5. Step 5: Solve for x
    x = 16,802,882,534.06/149,453.50
  6. Step 6: Final answer
    x = 112,428.83

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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.