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Finding the Fourth Proportional to 75,281, 112,965.24 and 33,728

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Solution

The fourth proportional to 75,281, 112,965.24 and 33,728 is: 50,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281 : 112,965.24 = 33,728 : x
  2. Step 2: Convert to fraction form
    75,281/112,965.24 = 33,728/x
  3. Step 3: Cross multiply
    75,281x = 112,965.24 × 33,728
  4. Step 4: Simplify right side
    75,281x = 3,810,091,614.72
  5. Step 5: Solve for x
    x = 3,810,091,614.72/75,281
  6. Step 6: Final answer
    x = 50,611.60

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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.