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Finding the Fourth Proportional to 129,651, 194,509.31 and 36,156.75

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Solution

The fourth proportional to 129,651, 194,509.31 and 36,156.75 is: 54,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,651 : 194,509.31 = 36,156.75 : x
  2. Step 2: Convert to fraction form
    129,651/194,509.31 = 36,156.75/x
  3. Step 3: Cross multiply
    129,651x = 194,509.31 × 36,156.75
  4. Step 4: Simplify right side
    129,651x = 7,032,824,313.56
  5. Step 5: Solve for x
    x = 7,032,824,313.56/129,651
  6. Step 6: Final answer
    x = 54,244.27

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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.