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Finding the Fourth Proportional to 47,803.53, 71,640.69 and 18,205.20

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Solution

The fourth proportional to 47,803.53, 71,640.69 and 18,205.20 is: 27,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,803.53 : 71,640.69 = 18,205.20 : x
  2. Step 2: Convert to fraction form
    47,803.53/71,640.69 = 18,205.20/x
  3. Step 3: Cross multiply
    47,803.53x = 71,640.69 × 18,205.20
  4. Step 4: Simplify right side
    47,803.53x = 1,304,233,089.59
  5. Step 5: Solve for x
    x = 1,304,233,089.59/47,803.53
  6. Step 6: Final answer
    x = 27,283.20

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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.