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Finding the Fourth Proportional to 137,855.49, 206,782.47 and 53,674.21

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Solution

The fourth proportional to 137,855.49, 206,782.47 and 53,674.21 is: 80,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,855.49 : 206,782.47 = 53,674.21 : x
  2. Step 2: Convert to fraction form
    137,855.49/206,782.47 = 53,674.21/x
  3. Step 3: Cross multiply
    137,855.49x = 206,782.47 × 53,674.21
  4. Step 4: Simplify right side
    137,855.49x = 11,098,885,977.58
  5. Step 5: Solve for x
    x = 11,098,885,977.58/137,855.49
  6. Step 6: Final answer
    x = 80,511.02

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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.