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Finding the Fourth Proportional to 129,429.97, 194,214.72 and 54,601.99

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Solution

The fourth proportional to 129,429.97, 194,214.72 and 54,601.99 is: 81,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,429.97 : 194,214.72 = 54,601.99 : x
  2. Step 2: Convert to fraction form
    129,429.97/194,214.72 = 54,601.99/x
  3. Step 3: Cross multiply
    129,429.97x = 194,214.72 × 54,601.99
  4. Step 4: Simplify right side
    129,429.97x = 10,604,510,199.29
  5. Step 5: Solve for x
    x = 10,604,510,199.29/129,429.97
  6. Step 6: Final answer
    x = 81,932.42

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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.