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Finding the Fourth Proportional to 137,839.71, 206,662.27 and 53,529.65

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Solution

The fourth proportional to 137,839.71, 206,662.27 and 53,529.65 is: 80,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,839.71 : 206,662.27 = 53,529.65 : x
  2. Step 2: Convert to fraction form
    137,839.71/206,662.27 = 53,529.65/x
  3. Step 3: Cross multiply
    137,839.71x = 206,662.27 × 53,529.65
  4. Step 4: Simplify right side
    137,839.71x = 11,062,558,981.31
  5. Step 5: Solve for x
    x = 11,062,558,981.31/137,839.71
  6. Step 6: Final answer
    x = 80,256.69

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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.