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Finding the Fourth Proportional to 137,205.72, 205,855.20 and 74,031.84

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Solution

The fourth proportional to 137,205.72, 205,855.20 and 74,031.84 is: 111,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,205.72 : 205,855.20 = 74,031.84 : x
  2. Step 2: Convert to fraction form
    137,205.72/205,855.20 = 74,031.84/x
  3. Step 3: Cross multiply
    137,205.72x = 205,855.20 × 74,031.84
  4. Step 4: Simplify right side
    137,205.72x = 15,239,839,229.57
  5. Step 5: Solve for x
    x = 15,239,839,229.57/137,205.72
  6. Step 6: Final answer
    x = 111,072.91

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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.