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Finding the Fourth Proportional to 129,838.30, 194,611.65 and 54,945.70

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Solution

The fourth proportional to 129,838.30, 194,611.65 and 54,945.70 is: 82,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838.30 : 194,611.65 = 54,945.70 : x
  2. Step 2: Convert to fraction form
    129,838.30/194,611.65 = 54,945.70/x
  3. Step 3: Cross multiply
    129,838.30x = 194,611.65 × 54,945.70
  4. Step 4: Simplify right side
    129,838.30x = 10,693,073,337.41
  5. Step 5: Solve for x
    x = 10,693,073,337.41/129,838.30
  6. Step 6: Final answer
    x = 82,356.85

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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.