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Finding the Fourth Proportional to 137,759.65, 206,245.28 and 84,812.65

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Solution

The fourth proportional to 137,759.65, 206,245.28 and 84,812.65 is: 126,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,759.65 : 206,245.28 = 84,812.65 : x
  2. Step 2: Convert to fraction form
    137,759.65/206,245.28 = 84,812.65/x
  3. Step 3: Cross multiply
    137,759.65x = 206,245.28 × 84,812.65
  4. Step 4: Simplify right side
    137,759.65x = 17,492,208,322.73
  5. Step 5: Solve for x
    x = 17,492,208,322.73/137,759.65
  6. Step 6: Final answer
    x = 126,976.28

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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.