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Finding the Fourth Proportional to 129,673.38, 194,463.28 and 54,799.31

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Solution

The fourth proportional to 129,673.38, 194,463.28 and 54,799.31 is: 82,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,673.38 : 194,463.28 = 54,799.31 : x
  2. Step 2: Convert to fraction form
    129,673.38/194,463.28 = 54,799.31/x
  3. Step 3: Cross multiply
    129,673.38x = 194,463.28 × 54,799.31
  4. Step 4: Simplify right side
    129,673.38x = 10,656,453,572.07
  5. Step 5: Solve for x
    x = 10,656,453,572.07/129,673.38
  6. Step 6: Final answer
    x = 82,179.19

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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.