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Finding the Fourth Proportional to 99,786.75, 137,705.90 and 55,074.75

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Solution

The fourth proportional to 99,786.75, 137,705.90 and 55,074.75 is: 76,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.75 : 137,705.90 = 55,074.75 : x
  2. Step 2: Convert to fraction form
    99,786.75/137,705.90 = 55,074.75/x
  3. Step 3: Cross multiply
    99,786.75x = 137,705.90 × 55,074.75
  4. Step 4: Simplify right side
    99,786.75x = 7,584,117,740.65
  5. Step 5: Solve for x
    x = 7,584,117,740.65/99,786.75
  6. Step 6: Final answer
    x = 76,003.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.