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Finding the Fourth Proportional to 129,893.20, 194,731.80 and 55,070.80

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Solution

The fourth proportional to 129,893.20, 194,731.80 and 55,070.80 is: 82,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,893.20 : 194,731.80 = 55,070.80 : x
  2. Step 2: Convert to fraction form
    129,893.20/194,731.80 = 55,070.80/x
  3. Step 3: Cross multiply
    129,893.20x = 194,731.80 × 55,070.80
  4. Step 4: Simplify right side
    129,893.20x = 10,724,036,011.44
  5. Step 5: Solve for x
    x = 10,724,036,011.44/129,893.20
  6. Step 6: Final answer
    x = 82,560.41

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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.