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Finding the Fourth Proportional to 49,855.98, 74,783.01 and 12,919.02

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Solution

The fourth proportional to 49,855.98, 74,783.01 and 12,919.02 is: 19,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855.98 : 74,783.01 = 12,919.02 : x
  2. Step 2: Convert to fraction form
    49,855.98/74,783.01 = 12,919.02/x
  3. Step 3: Cross multiply
    49,855.98x = 74,783.01 × 12,919.02
  4. Step 4: Simplify right side
    49,855.98x = 966,123,201.85
  5. Step 5: Solve for x
    x = 966,123,201.85/49,855.98
  6. Step 6: Final answer
    x = 19,378.28

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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.