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Finding the Fourth Proportional to 144,771.68, 217,115.86 and 49,977.20

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Solution

The fourth proportional to 144,771.68, 217,115.86 and 49,977.20 is: 74,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,771.68 : 217,115.86 = 49,977.20 : x
  2. Step 2: Convert to fraction form
    144,771.68/217,115.86 = 49,977.20/x
  3. Step 3: Cross multiply
    144,771.68x = 217,115.86 × 49,977.20
  4. Step 4: Simplify right side
    144,771.68x = 10,850,842,758.39
  5. Step 5: Solve for x
    x = 10,850,842,758.39/144,771.68
  6. Step 6: Final answer
    x = 74,951.42

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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.