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Finding the Fourth Proportional to 129,653.25, 194,512.70 and 36,159

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Solution

The fourth proportional to 129,653.25, 194,512.70 and 36,159 is: 54,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,653.25 : 194,512.70 = 36,159 : x
  2. Step 2: Convert to fraction form
    129,653.25/194,512.70 = 36,159/x
  3. Step 3: Cross multiply
    129,653.25x = 194,512.70 × 36,159
  4. Step 4: Simplify right side
    129,653.25x = 7,033,384,538.51
  5. Step 5: Solve for x
    x = 7,033,384,538.51/129,653.25
  6. Step 6: Final answer
    x = 54,247.65

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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.