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Finding the Fourth Proportional to 99,729, 137,626.02 and 55,017

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Solution

The fourth proportional to 99,729, 137,626.02 and 55,017 is: 75,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,729 : 137,626.02 = 55,017 : x
  2. Step 2: Convert to fraction form
    99,729/137,626.02 = 55,017/x
  3. Step 3: Cross multiply
    99,729x = 137,626.02 × 55,017
  4. Step 4: Simplify right side
    99,729x = 7,571,770,742.34
  5. Step 5: Solve for x
    x = 7,571,770,742.34/99,729
  6. Step 6: Final answer
    x = 75,923.46

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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.