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Finding the Fourth Proportional to 120,908.40, 181,297.80 and 50,708.40

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Solution

The fourth proportional to 120,908.40, 181,297.80 and 50,708.40 is: 76,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,908.40 : 181,297.80 = 50,708.40 : x
  2. Step 2: Convert to fraction form
    120,908.40/181,297.80 = 50,708.40/x
  3. Step 3: Cross multiply
    120,908.40x = 181,297.80 × 50,708.40
  4. Step 4: Simplify right side
    120,908.40x = 9,193,321,361.52
  5. Step 5: Solve for x
    x = 9,193,321,361.52/120,908.40
  6. Step 6: Final answer
    x = 76,035.42

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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.