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Finding the Fourth Proportional to 137,593, 206,399.22 and 54,487

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Solution

The fourth proportional to 137,593, 206,399.22 and 54,487 is: 81,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,593 : 206,399.22 = 54,487 : x
  2. Step 2: Convert to fraction form
    137,593/206,399.22 = 54,487/x
  3. Step 3: Cross multiply
    137,593x = 206,399.22 × 54,487
  4. Step 4: Simplify right side
    137,593x = 11,246,074,300.14
  5. Step 5: Solve for x
    x = 11,246,074,300.14/137,593
  6. Step 6: Final answer
    x = 81,734.35

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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.