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Finding the Fourth Proportional to 137,791.72, 206,607.12 and 53,453.32

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Solution

The fourth proportional to 137,791.72, 206,607.12 and 53,453.32 is: 80,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.72 : 206,607.12 = 53,453.32 : x
  2. Step 2: Convert to fraction form
    137,791.72/206,607.12 = 53,453.32/x
  3. Step 3: Cross multiply
    137,791.72x = 206,607.12 × 53,453.32
  4. Step 4: Simplify right side
    137,791.72x = 11,043,836,083.35
  5. Step 5: Solve for x
    x = 11,043,836,083.35/137,791.72
  6. Step 6: Final answer
    x = 80,148.77

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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.