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Finding the Fourth Proportional to 129,654, 194,513.82 and 36,159.75

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Solution

The fourth proportional to 129,654, 194,513.82 and 36,159.75 is: 54,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 194,513.82 = 36,159.75 : x
  2. Step 2: Convert to fraction form
    129,654/194,513.82 = 36,159.75/x
  3. Step 3: Cross multiply
    129,654x = 194,513.82 × 36,159.75
  4. Step 4: Simplify right side
    129,654x = 7,033,571,102.75
  5. Step 5: Solve for x
    x = 7,033,571,102.75/129,654
  6. Step 6: Final answer
    x = 54,248.78

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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.