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Finding the Fourth Proportional to 129,538.89, 194,224.88 and 54,639

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Solution

The fourth proportional to 129,538.89, 194,224.88 and 54,639 is: 81,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,538.89 : 194,224.88 = 54,639 : x
  2. Step 2: Convert to fraction form
    129,538.89/194,224.88 = 54,639/x
  3. Step 3: Cross multiply
    129,538.89x = 194,224.88 × 54,639
  4. Step 4: Simplify right side
    129,538.89x = 10,612,253,218.32
  5. Step 5: Solve for x
    x = 10,612,253,218.32/129,538.89
  6. Step 6: Final answer
    x = 81,923.30

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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.