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Finding the Fourth Proportional to 129,797.80, 194,696.70 and 82,911.40

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Solution

The fourth proportional to 129,797.80, 194,696.70 and 82,911.40 is: 124,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797.80 : 194,696.70 = 82,911.40 : x
  2. Step 2: Convert to fraction form
    129,797.80/194,696.70 = 82,911.40/x
  3. Step 3: Cross multiply
    129,797.80x = 194,696.70 × 82,911.40
  4. Step 4: Simplify right side
    129,797.80x = 16,142,575,972.38
  5. Step 5: Solve for x
    x = 16,142,575,972.38/129,797.80
  6. Step 6: Final answer
    x = 124,367.10

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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.