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Finding the Fourth Proportional to 49,857.78, 74,800.80 and 20,296.82

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Solution

The fourth proportional to 49,857.78, 74,800.80 and 20,296.82 is: 30,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,857.78 : 74,800.80 = 20,296.82 : x
  2. Step 2: Convert to fraction form
    49,857.78/74,800.80 = 20,296.82/x
  3. Step 3: Cross multiply
    49,857.78x = 74,800.80 × 20,296.82
  4. Step 4: Simplify right side
    49,857.78x = 1,518,218,373.46
  5. Step 5: Solve for x
    x = 1,518,218,373.46/49,857.78
  6. Step 6: Final answer
    x = 30,450.98

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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.