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Finding the Fourth Proportional to 221,809.50, 306,103.23 and 135,766.76

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Solution

The fourth proportional to 221,809.50, 306,103.23 and 135,766.76 is: 187,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,809.50 : 306,103.23 = 135,766.76 : x
  2. Step 2: Convert to fraction form
    221,809.50/306,103.23 = 135,766.76/x
  3. Step 3: Cross multiply
    221,809.50x = 306,103.23 × 135,766.76
  4. Step 4: Simplify right side
    221,809.50x = 41,558,642,232.12
  5. Step 5: Solve for x
    x = 41,558,642,232.12/221,809.50
  6. Step 6: Final answer
    x = 187,361.87

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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.