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Finding the Fourth Proportional to 83,043.84, 124,611.84 and 33,792

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Solution

The fourth proportional to 83,043.84, 124,611.84 and 33,792 is: 50,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043.84 : 124,611.84 = 33,792 : x
  2. Step 2: Convert to fraction form
    83,043.84/124,611.84 = 33,792/x
  3. Step 3: Cross multiply
    83,043.84x = 124,611.84 × 33,792
  4. Step 4: Simplify right side
    83,043.84x = 4,210,883,297.28
  5. Step 5: Solve for x
    x = 4,210,883,297.28/83,043.84
  6. Step 6: Final answer
    x = 50,706.75

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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.