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Finding the Fourth Proportional to 129,642, 194,495.81 and 36,147.75

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Solution

The fourth proportional to 129,642, 194,495.81 and 36,147.75 is: 54,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642 : 194,495.81 = 36,147.75 : x
  2. Step 2: Convert to fraction form
    129,642/194,495.81 = 36,147.75/x
  3. Step 3: Cross multiply
    129,642x = 194,495.81 × 36,147.75
  4. Step 4: Simplify right side
    129,642x = 7,030,585,735.19
  5. Step 5: Solve for x
    x = 7,030,585,735.19/129,642
  6. Step 6: Final answer
    x = 54,230.77

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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.