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Finding the Fourth Proportional to 137,953.71, 206,825.67 and 71,351.43

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Solution

The fourth proportional to 137,953.71, 206,825.67 and 71,351.43 is: 106,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,953.71 : 206,825.67 = 71,351.43 : x
  2. Step 2: Convert to fraction form
    137,953.71/206,825.67 = 71,351.43/x
  3. Step 3: Cross multiply
    137,953.71x = 206,825.67 × 71,351.43
  4. Step 4: Simplify right side
    137,953.71x = 14,757,307,315.21
  5. Step 5: Solve for x
    x = 14,757,307,315.21/137,953.71
  6. Step 6: Final answer
    x = 106,972.89

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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.