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Finding the Fourth Proportional to 137,838.24, 206,791.68 and 39,342.24

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Solution

The fourth proportional to 137,838.24, 206,791.68 and 39,342.24 is: 59,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,838.24 : 206,791.68 = 39,342.24 : x
  2. Step 2: Convert to fraction form
    137,838.24/206,791.68 = 39,342.24/x
  3. Step 3: Cross multiply
    137,838.24x = 206,791.68 × 39,342.24
  4. Step 4: Simplify right side
    137,838.24x = 8,135,647,904.56
  5. Step 5: Solve for x
    x = 8,135,647,904.56/137,838.24
  6. Step 6: Final answer
    x = 59,023.16

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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.