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Finding the Fourth Proportional to 137,600, 206,409.76 and 54,494

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Solution

The fourth proportional to 137,600, 206,409.76 and 54,494 is: 81,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,600 : 206,409.76 = 54,494 : x
  2. Step 2: Convert to fraction form
    137,600/206,409.76 = 54,494/x
  3. Step 3: Cross multiply
    137,600x = 206,409.76 × 54,494
  4. Step 4: Simplify right side
    137,600x = 11,248,093,461.44
  5. Step 5: Solve for x
    x = 11,248,093,461.44/137,600
  6. Step 6: Final answer
    x = 81,744.87

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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.