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Finding the Fourth Proportional to 49,855.78, 74,797.80 and 20,294.82

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Solution

The fourth proportional to 49,855.78, 74,797.80 and 20,294.82 is: 30,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855.78 : 74,797.80 = 20,294.82 : x
  2. Step 2: Convert to fraction form
    49,855.78/74,797.80 = 20,294.82/x
  3. Step 3: Cross multiply
    49,855.78x = 74,797.80 × 20,294.82
  4. Step 4: Simplify right side
    49,855.78x = 1,518,007,887.40
  5. Step 5: Solve for x
    x = 1,518,007,887.40/49,855.78
  6. Step 6: Final answer
    x = 30,447.98

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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.