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Finding the Fourth Proportional to 135,161.75, 186,515.69 and 74,728.87

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Solution

The fourth proportional to 135,161.75, 186,515.69 and 74,728.87 is: 103,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,161.75 : 186,515.69 = 74,728.87 : x
  2. Step 2: Convert to fraction form
    135,161.75/186,515.69 = 74,728.87/x
  3. Step 3: Cross multiply
    135,161.75x = 186,515.69 × 74,728.87
  4. Step 4: Simplify right side
    135,161.75x = 13,938,105,911.04
  5. Step 5: Solve for x
    x = 13,938,105,911.04/135,161.75
  6. Step 6: Final answer
    x = 103,121.67

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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.