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Finding the Fourth Proportional to 221,754.81, 305,914.62 and 145,240.24

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Solution

The fourth proportional to 221,754.81, 305,914.62 and 145,240.24 is: 200,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,754.81 : 305,914.62 = 145,240.24 : x
  2. Step 2: Convert to fraction form
    221,754.81/305,914.62 = 145,240.24/x
  3. Step 3: Cross multiply
    221,754.81x = 305,914.62 × 145,240.24
  4. Step 4: Simplify right side
    221,754.81x = 44,431,113,181.76
  5. Step 5: Solve for x
    x = 44,431,113,181.76/221,754.81
  6. Step 6: Final answer
    x = 200,361.44

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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.