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Finding the Fourth Proportional to 80,731.40, 120,866.70 and 49,627.40

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Solution

The fourth proportional to 80,731.40, 120,866.70 and 49,627.40 is: 74,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,731.40 : 120,866.70 = 49,627.40 : x
  2. Step 2: Convert to fraction form
    80,731.40/120,866.70 = 49,627.40/x
  3. Step 3: Cross multiply
    80,731.40x = 120,866.70 × 49,627.40
  4. Step 4: Simplify right side
    80,731.40x = 5,998,300,067.58
  5. Step 5: Solve for x
    x = 5,998,300,067.58/80,731.40
  6. Step 6: Final answer
    x = 74,299.47

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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.